Solve the system of linear equations by substitution. Check your solilution.
y=x+3 y=5x-5​

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

Substitute the expression for y in the second equation into the first equation:

  5x -5 = x +3

  4x = 8 . . . . . . add 5-x to both sides

  x = 2 . . . . . . divide by 4

  y = 2+3 = 5 . . . substitute for x in the first equation

The solution is (x, y) = (2, 5).


Related Questions

What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!

Answers

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

2×2=4

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

answer:

?=2×2

=4

What should be subtracted from the product of
3/7 and 2/5 to get -4/35?​

Answers

[tex]\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = \frac{2}{7}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Let [tex]x[/tex] be the unknown number.

As per the question, we have

[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]

➺[tex] \: \frac{6}{35} - x = \frac{ - 4}{35} [/tex]

➺[tex] \: - x = \frac{ - 4}{35} - \frac{6}{35} [/tex]

➺[tex] \: - x = \frac{ - 4 - 6}{35} [/tex]

➺[tex] \: - x = \frac{ - 10}{35} [/tex]

➺[tex] \: x = \frac{2}{7} [/tex]

Therefore, [tex] \frac{2}{7} [/tex] should be subtracted from the product of [tex] \frac{3}{7} [/tex] and [tex] \frac{2}{5} [/tex] to get [tex]\frac{ - 4}{35} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify}}{\orange{:}}}}}[/tex]

[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]

➼[tex] \: ( \frac{6}{35} ) - \frac{2}{7} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{6}{35} - \frac{2 \times 5}{7 \times 5} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{6 - 10}{35} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{ - 4}{35} = \frac{ - 4}{35} [/tex]

➼[tex] \: L.H.S.=R. H. S[/tex]

[tex]\sf\purple{Hence\:verified. }[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]

200 reduced by twice my age is 20 years of age

Answers

Answer:

90 years

Step-by-step explanation:

Equation =

200 - 2x = 20

2x = 200 - 20

2x = 180

x = 180 / 2

x = 90

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

PLEASE HELP !!!!! ASAP PLEASE !!!! IM BEGGING LOL !!!!

Answers

Step-by-step explanation:

Hey there!

From the given figure;

Angle ABE = 90°.

And angle ABC= [(3x+7)° + (5x+11)°].

Now, Angle ABE + Angle ABC= 180° [Being linear pair].

or, 90° + (3x+7)° + (5x+11)°= 180°

or, (3x+7)° + (5x+11)°= 90°

or, 8x + 18° =90°

or, 8x = 90°-18°

or, X = 9°

Therefore, X= 9°.

Now,

Angle DBC = (5*9+11)°

= 56°

Therefore, the measure of angle DBC is 56°.

Hope it helps!

[tex]\huge\bold{To\:find:}[/tex]

The measure of DBC.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:measure\:of\:∠DBC\:is\:56°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (3x + 7)° + (5x + 11) ° = 90° \\ ⇢3x° + 7° + 5x° + 11° = 90° \\combining \: the \: like \: terms, \: we \: have \\ ⇢3x° + 5x° + 7° + 11° = 90° \\ ⇢8x° = 90° - 18° \\ ⇢8x° = 72° \\ ⇢x° = \frac{72°}{8} \\ ⇢x° = 9°[/tex]

Substituting the value of [tex]x°[/tex] in DBC, we have

[tex](5x + 11) °\\ = 5 \times 9° + 11 °\\ = 45° + 11° \\ = 56°[/tex]

[tex]\sf\blue{Therefore,\:the\:measure\:of\:∠DBC\:is\:56°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](3x + 7) ° + (5x + 11)° = 90° \\ \: ➡ \: (3 \times 9 + 7)° + (5 \times 9 + 11)° = 90° \\ ➡ \: 34° + 56° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Four decreased by the product of a number and 7 is equal to 11

Answers

Answer:

See image below:)

Step-by-step explanation:

Answer:

[tex]y=2\frac{1}{7}[/tex]

Step-by-step explanation:

(y · 7) - 4 = 11

7y - 4 = 11

7y - 4 + 4 = 11 + 4

7y = 15

7y ÷ 7 = 15 ÷ 7

[tex]y=2\frac{1}{7}[/tex]

Which ratio is less than 15/24? Help!!! (´༎ຶོρ༎ຶོ`)

Answers

Answer:

1/2

Step-by-step explanation:

You can try converting 1/2 to another fraction with the same denominator as 15/24. This fraction is 12/24. As you can see, 12/24 is less than 15/24.

Answer:

option A

Step-by-step explanation:

To find ratio less than the given ratio we will convert the denominator of each fraction to 24 and then compare

Given ratio is : [tex]\frac{15}{24}[/tex]

Given options

          [tex]\frac{1}{2} = \frac{1 \times 12 }{2 \times12} = \frac{12}{24}[/tex]

            [tex]\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}[/tex]

                            [tex]\frac{19}{24}[/tex]

             [tex]\frac{6}{8} = \frac{6 \times 3}{8 \times 3} =\frac{18}{24}[/tex]

Now arrange in the ascending order , just check the numerator values.

[tex]\frac{12}{24} < \frac{15}{24} < \frac{18}{24} < \frac{19}{24} < \frac{21}{24}[/tex]

Therefore

                 : [tex]\frac{12}{24} = \frac{1}{2}\ is \ the\ ratio\ less\ than\ \frac{15}{24}[/tex]

Find the sum of 6/7 + [-1/7] as a integer or fraction.

Answers

Answer:

5/7

Step-by-step explanation:

6/7 + [-1/7]

Since the denominators are the same, add the numerators

6+-1 = 5

Put this over the common denominator

5/7

Answer the following.
What is the perimeter of the shape shown on the
right?
Use u = 3.14 and round your answer to 1 decimal
place
1 cm

Answers

Answer:

13.1 cm

Step-by-step explanation:

5+5=10

1/2x2π1=3.14

10+3.14=13.14

Sam scored an 82% on her test. She answered 27 questions correctly. How many questions were on the test? Round to the nearest whole number

Answers

Answer:

33

Step-by-step explanation:

82%-27

1%-0.3292

100%-33(nearest whole number)

What should be done to solve the following equation x-9=13

Answers

Answer and Step-by-step explanation:

To find x, we need to add 9 to both sides of the equation.

x = 22  <-- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

X=22

Step-by-step explanation:

X-9=13

X=13+9

X=22

What line describes the line parallel to y= -1/3x+5 ?

Answers

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

Parallel equations have the same slope.

Match the following research designs to the appropriate inferential statistic Group of answer choices Predictor: categorical with 4 levels; Outcome: categorical with 2 levels [ Choose ] Predictor: categorical with 2 levels; Outcome: continuous [ Choose ] Predictor: continuous; Outcome: continuous [ Choose ] Predictor: categorical with 4 levels; Outcome: continuous

Answers

Answer:

Chisquare test

t - test

Correlation

ANOVA, F ratio.

Step-by-step explanation:

The Chisquare test is suitable for testing categorical variables with factors levels more than 3.

The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.

Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.

Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.

Time
1 point
2
You scored the following grades on your first three math tests: 71.78, 81. You only have one test remaining. What is the highest possible test average
you can get?

Answers

Answer:

82.5.

Step-by-step explanation:

That would be the average if you scored 100 on your last test.

This is (71+78+81+100)/ 4

= 82.5

I don’t know how to figure out how many roots is has

Answers

Answer:

1) 3 roots

2) 2 roots

3) 4 roots

Answer:

first one has 3 roots

second one has 2 roots

third one has zero roots

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM. If 188 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Answers

Answer:

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.

This means that [tex]\mu = 84, \sigma = 15[/tex]

Sample of 188

This means that [tex]n = 188, s = \frac{15}{\sqrt{188}}[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?

Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability is is less than 82.54.

P-value of Z when X = 82.54. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

2*0.0918 = 0.1836

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Need help finding the value of “X”

Answers

the value of x should be 15
975 is correct answer

Find the common difference of the arithmetic sequence -14, -5, 4, ...

Answers

The correct answer is 9

Find the weighted mean

Answers

Answer:

10.1

Step-by-step explanation:

weighted mean = sum of the multiplication of frequency and value /sum of frequency

sum of frequency  = 5 + 5 + 5 + 21 = 36

sum of the multiplication of frequency and value = (16 x 5) + (20 x 5) +  (16 x 5) + ( 5 x 21) = 365

365/36 = 10.1

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The sound level of a jet plane is approximately 140 dB. The intensity of the sound of a jet plane is approximately
.

Answers

Answer:

280 DB

Step-by-step explanation:

If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

What is sound level?

Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.

The sound level of a jet plane is expressed according to the expression given:

β = 10log(I/I0)

Given the following parameters

β = 140dB

I0 = 10^-12 W/m²

For required Intensity "I" Substitute:-

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12

I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

learn more intensity of sound here:

brainly.com/question/9367064

#SPJ2

The question is shown clearly in the photo below. Please explain step by step.

Answers

Answer:

pls can u tell which grade are you

Answer:

J

Step-by-step explanation:

x+1/x3-x=x+1/x2

=1/x

1/x2-x=1/x

2. Simplify (2/3)^3 .

Answers

Answer:

8/27.

Step-by-step explanation:

Given expression: [tex](2/3)^3[/tex]

To correctly simplify this expression, you must first understand the role of exponents and base numbers.

The base number is the number being multiplied.

The exponent tells the base number how many times it should be multiplied by itself.

In this case, 2/3 is the base number and 3 is the exponent.

Exponential notations will always be written like this: [tex]x^n[/tex]

[tex]x-base[/tex]

[tex]n-exponent[/tex]

Now that we know the roles of the exponent and base number, we can correctly simplify this expression.

[tex](2/3)^3[/tex]

[tex]=2/3*2/3*2/3[/tex]

[tex]=8/27[/tex]

[tex]\to \ (2/3)^3=8/27[/tex]

Therefore, the value of [tex](2/3)^3[/tex] is 8/27.

Not sure how I can solve this problem or where to start. Please Help!

Answers

The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.

The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.

The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter d has circumference πd ; a half-circle with the same diameter would then contirubte πd/2, or in this case, 3π m.

So, the total perimeter of the shape is

(4 m + 2√13 m) + 18 m + 3π m ≈ 38.6 m

Find the area of the bedroom with the shape shown in the figure, in square feet. A) 67 ft2 B) 106 ft2 C) 506 ft2 D) 548 ft2

Answers

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

Firstly , See the attached picture! :) I splitted the provided figure into two rectangles i.e namely small rectangle & big rectangle !

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

Find out the area of small rectangle having length of 14 ft & width of 12 ft :

[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]

Find out the area of big rectangle having length of 20 ft and width of 19 ft :

[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]

Now , Add the area of small rectangle & area of big rectangle :

[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]

[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]

[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \boxed{ \tt{⇝ \: OUR\: FINAL\: ANSWER : \boxed{\underline{ \tt{D. \: 548 \: {ft}^{2} }}}}}}[/tex]

✺ WORK HARD! So that tommorrow , your parents can be recognized by your name!

♡Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

yes yyytt was so pretty up was like oh my wow yeah that’s what you got cut

A hotel installs dual-flush toilets to help conserve water. The new toilets use 1.6 gallons for one full flush and 0.9 gallons for one partial flush. Measurements show that in the first week there were 1,190 full flushes and 3,150 partial flushes. How many gallons of water were saved for the week compared to a week in which all the flushes were full flushes?

Answers

If all the flushes were full flushes: 1190 + 3150 = 4340 full flushes in total. Because the full flush uses 1.6 gallons, multiply 4340 and you get 6944 gallons of water used per week before the partial flushes were installed.

(1190 full flushes * 1.6 gallons) + (3150 partial flushes * 0.9 gallons) = 4739 gallons used.

Subtract 4739 gallons from 6944 gallons to get the amount of gallons saved for the week, which is 2205 gallons.

if the height of two similar prisms have a ratio of 7:21 then the ratio of the area is.....

Answers

Answer:

1:3

Step-by-step explanation:

7:21

1:3

so , 7:21 is 1:3.

Lines a, b, c, and d intersect as shown. What is z

Answers

Answer:

Step-by-step explanation:

help jehejeieoeieoeoe

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-6 + k}[/tex]

[tex]\large\textsf{If k = 18, then substitute it into the equation where k is at}[/tex]

[tex]\large\textsf{-6 + 18}[/tex]

[tex]= \boxed{\large\textsf{\bf 12}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 12 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Guide}\downarrow[/tex]

[tex]\large\textsf{Negative \& negative = \boxed{\bf positive}}[/tex]

[tex]\large\textsf{Negative \& positive = \boxed{\bf negative}}[/tex]

[tex]\large\textsf{Positive \& positive = \boxed{\bf positive}}[/tex]

[tex]\large\textsf{Positive \& negative = \boxed{\bf negative}}[/tex]

[tex]\large\textsf{SOME values results in the bigger number}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

help would be very appreciated

Answers

Answer: 1.5m/s

Step-by-step explanation:

Answer:

1.5m/s

Step-by-step explanation:

distance/time= 6 meters/4 secs=1.5meters per sec

Given that 2x – 9y = 11
Find y when x = 7
=
Give your answer as a fraction in its simplest form.


PLEASE HELP IM DESPERATE

Answers

Answer:

y = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

2x - 9y = 11

x = 7

Step 2: Evaluate

Substitute in x:                                                                                                  2(7) - 9y = 11Multiply:                                                                                                             14 - 9y = 11[Subtraction Property of Equality] Subtract 14 on both sides:                       -9y = -3[Division Property of Equality] Divide -9 on both sides:                                 y = 1/3


The average age of 6 men is 35 years and
the average age of four of them is 32 years.
Find the ages of the remaining two men if
one is 3 years older than the other.​

Answers

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

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