3x+2y=7 y=3x-19 could someone show me a step by step for this equation for substitution

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf (5,-4)}}[/tex]

Step-by-step explanation:

We are given the equations:

[tex]3x+2y=7 \\y=3x-19[/tex]

Since we know what y is equal to, we can substitute that expression in for y in the first equation.

[tex]3x+2(3x-19)=7[/tex]

Distribute the 2. Multiply each term inside the parentheses by 2.

[tex]3x+(2*3x)+ (2*-19)=7[/tex]

[tex]3x+6x+-38= 7[/tex]

Combine the like terms (the terms with variables).

[tex]9x-38=7[/tex]

Since we are solving for x, we must isolate the variable. 38 is being subtracted and the inverse of subtraction is addition. Add 38 to both sides.

[tex]9x-38+38=7+38 \\9x=7+38\\9x=45[/tex]

Now x is being multiplied by 9. The inverse of multiplication is division. Divide both sides by 5.

[tex]9x/9=45/9\\x=45/9\\x=5[/tex]

Now we know what x is equal to and can substitute the value into the second equation.

[tex]y=3x-19[/tex]

[tex]y=3(5)-19[/tex]

Multiply.

[tex]y=15-19[/tex]

Subtract.

[tex]y= -4[/tex]

Coordinate points are written as (x,y). Therefore, the solution is (5, -4).

Answer 2

Answer:

x=5,y=-4

Step-by-step explanation:

[[tex]\frac{3x+2y=7}{y=3x-19}[/tex]][3x+2(3x-19)=7][9x-38=7]y=3 · 5 - 19x=5,y=-4

Related Questions

Math question please help

Answers

Answer:

m=15.50h+127

Step-by-step explanation:

She will get $15.5 for each hour (h) so that is the slope. She started with $127 so that is the y-intercept.

P.S. If this helped please consider giving brainliest.

Answer:

m = 15.50h + 127

Step-by-step explanation:

Can anyone help me with this please?
Do not answer if you do not know.

Answers

Answer: a

Step-by-step explanation:

If nkf ~ lzf, find nf, please help me with this it’s due tmr!!!!

Answers

Answer:

NF = 25

Step-by-step explanation:

Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.

This means that:

KF/ZF = NF/LF

KF = x + 3

ZF = 4

NF = 15 + x + 3 = x + 18

LF = x + 3

Plug in the values into the equation

(x + 3)/4 = (x + 18)/(x + 3)

Cross multiply

(x + 3)(x + 3) = (x + 18)(4)

x² + 3x + 3x + 9 = 4x + 72

x² + 6x + 9 = 4x + 72

x² + 6x + 9 - 4x - 72 = 0

x² + 2x - 63 = 0

Factorize to find x

x² + 9x - 7x - 63 = 0

x(x + 9) -7(x + 9) = 0

(x + 9)(x - 7) = 0

x + 9 = 0 or x - 7 = 0

x = -9 or x = 7

We'd use the positive value of x, which is 7.

Therefore, x = 7.

✅NF = 15 + (x + 3)

Plug in the value of x

NF = 15 + (7 + 3) = 15 + 10

NF = 25

2 2/6 ×3 what's the answer???​

Answers

2 2/6 times 3 is 7. Hope that helps!!

(8+6×6)/11+7×2 plssssssssssssss anyoneeeeee

Answers

Answer:

it 18

Step-by-step explanation:

:D

PLS HELP !!!!! :( this is really hard please I need help

Answers

Answer: At least 13

Step-by-step explanation:

Order these numbers from least to greatest.
2.5, 2.304, 3.21, 2.34

Answers

Answer:

2.304, 2.34, 2.5, 3.21

Step-by-step explanation:

1. Look at the digit in the ones place. See how they are all 2s except for one 3? Well, now we know the one with the 3 must be the greatest, since 3>2.

2. Next, look at the digit in the tenths place. We have a 3, 3, and a 5. Since 5 > 3, we know thar 2.5 is the second greatest.

3. Last, look at the hundreths place. We have a 0 and a 4. Since 4 > 0, that means 2.34 is the third greatest.

4. Since this is from least to greatest, put 2.304 first and the others as follows in the answer. Hope this helps.

plsss helpppppp !!!!

Answers

Answer:  37°

Step-by-step explanation: Every triangle has a sum of 180 ° so you would add 31+112= 143 and subtract 143 from 180 which is the value of v, 37.

a fish swam 75 feet to the bottom of the river. The fish then swam up 35 feet towards the surface of the river and stopped. How deep is the fish in the river? ​

Answers

Answer:

40 feet deep

Step-by-step explanation:

:))

HELPPPPPPPPPPPPPPPPPPPPPPP
IT IS MEAN-MEDIAN MODE

Answers

Mean is the average of every
Median is the middle number
Mode it the number that occurs the most frequently

A student made a chart to classify plates by the types of boundaries. What
crustal feature is most likely found between the Pacific and North American
Plates? *
Plates at boundary
South American/African
Eurasian/Pacific
North American/Eurasian
Pacific/North American
Type of boundary
Divergent
Convergent
Divergent
Transform
Your answer

Answers

Answer:

trench

Step-by-step explanation:

How can I show my work even though I already know the answer “Ella is building a rabbit pen. The area of the rabbit pen is 50 square feet.
Each rabbit needs at least 4 square feet of space. How many rabbits can
the pen hold?”

Answers

Answer:

12

Step-by-step explanation:

To show your answer just show 50 divided by 4.

What is another word for making something larger in a dilation

Answers

Answer:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment develop

Step-by-step explanation:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment  develop

The following quadrilateral is a rhombus. The measure of angle E is 115
degrees. What is the measure of angle G?"

Answers

Answer:

<E=<G=115°

since opposite angle of rhombus is equal

What is the formula for the pythagorem theory

Answers

Answer:

C^2 = a^2 + b^2

The formula for the pythagorem theory

The formula is a2+b2=c2

Find the axis of symmetry and the vertex of the graph of the function: y=-1/2x^2+4x-7

Answers

Answer:

axis x=4 & vertex (4,1)

If sinA = cosB, what is the relationship between A and B if A is obuse angled and B is acute angled ?

Answers

Answer:

According to the law of sines, \dfrac{AB}{\sin(\angle C)}=\dfrac{AC}{\sin(\angle B)}

sin(∠C)

AB

=

sin(∠B)

AC

start fraction, A, B, divided by, sine, left parenthesis, angle, C, right parenthesis, end fraction, equals, start fraction, A, C, divided by, sine, left parenthesis, angle, B, right parenthesis, end fraction. Now we can plug the values and solve:

\begin{aligned} \dfrac{AB}{\sin(\angle C)}&=\dfrac{AC}{\sin(\angle B)} \\\\ \dfrac{5}{\sin(33^\circ)}&=\dfrac{AC}{\sin(67^\circ)}\\\\ \dfrac{5\sin(67^\circ)}{\sin(33^\circ)}&=AC \\\\ 8.45&\approx AC \end{aligned}

sin(∠C)

AB

sin(33

)

5

sin(33

)

5sin(67

)

8.45

=

sin(∠B)

AC

=

sin(67

)

AC

=AC

≈AC

I need help on this and the first person that answer this correctly gets a BRANLIST(answer if you know)​

Answers

Answer:

C

Step-by-step explanation:

Answer:

the currect answer is C

Step-by-step explanation:

There are 425 sheets of printer paper in every pack. If Zoey needs 6800 sheets of paper for her business each week, which equation shows how many packages of paper, P, she should buy? A. B. C. D.

Answers

Answer:

a

Step-by-step explanation:

if you roll 2 number cubes, what is the probability of rolling an odd number greater than 2 on both cubes

Answers

Answer4/6 or 8/12 i think sorry if im wrong

Step-by-step explanation:

Answer:

you have 1/3 chances

Step-by-step explanation:

A cube has six sides

6 + 6 = 12

you have to roll higher than 1 and 2, which both sides have

4/12 = .3333 = 1/3

Hope this is correct

find the value of given expression


[tex] \sqrt{29 \times 29} [/tex]

Answers

Answer:

29

Step-by-step explanation:

Which equation has infinitely many solutions?

A. 6x + 5 = 6x + 7
B. 6x + 7 = 5x + 7
C. 3(x + 2) – 1 = 3x + 1
D. 4(x + 1) – 3 = 4x + 1

Answers

For C and D do distributive
3x + 6 - 1 = 3x + 1
4x + 4 - 3 = 4x + 1
Only D is true

The solution is D

One a map 3 centimeters represent 150 kilometers. If a line between two cities measure 4.5 centimeters, how many kilometers apart are they?

Answers

3cm. 150km
4.5cm. X km
X=4.5•150/3
X=225km

Probability part 2 is shunya is going to spin the spinner 200 times. (B) work out an estimate for the number of times the spinner will land on 3 (please show working out ) :)

Answers

Never second guess you self cause the first guess is always going to be right

im confused on this

Answers

Answer:

The correct answer would be g) The additional fee per yoga is $8.25 .


[tex] \frac{ {2}^{x + 2} - {2}^{ x + 3} }{ {2}^{x + 1} - {2}^{x + 2 } } [/tex]

Answers

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be x + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that nª / nᵇ = nª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of y = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4y - 8y) / (2y - 4y)

… = (-4y) / (-2y)

… = 2


What is the volume of the box shown below?
1 cm
1 cm
1/4
cm

Answers

Volume = l x w x h
Volume = 1x1x1/4
Volume = 1/4 cm^3

What is the absolute value of (-100) and why?​

Answers

Absolute value of -100 is 0

I need help again thanks

Answers

The answer is the first choice or the third one not sure man

I know this is easy but I need help and im stuck.. First person who answer correctly gets a BRANILIST​

Answers

Answer:

(D)  48

Step-by-step explanation:

106-10=96

96/2=48

Answer=(D)  48

Answer:

B) 43

Step-by-step explanation:

Basically its 10 dollars every year with 2 dollars a movie... so just minus the 10 dollars from 106, and divide by 2... in this case its 96/2 which is 43.

Other Questions
What did the south want during the Kansas Nebraska Act? When a warm air mass collides with a cold air mass, the warm air mass rises above the cold air mass leading too:A) Sunny skiesB) Global warmingC) The formation of clouds and rainD) Volcanic eruptions A group of friends were working on a student film that had a budget of $1000. They used $370 of their budget on costumes. What percentage of their total budget did they spend on costumes? What does the x-intercept represent in this context? Ken paid $12 for two magazines. The cost ofeach magazine was a multiple of $3. Whatare the possible prices of the magazines?PLEASE ANSWER QUICK Instructions: Find the missing length indicated. give two example of plant which reproduce through spore formation 1. Suggest four historical parallel accounts from the two images in figure 1 & 2respectively by comparing and contrasting them in Pre-historical context.Fig. 1: HALL OF BULLS.Lascaux Cave. Dordogne, France. C. 15,000 BCE.Paint on limestone, length of largest auroch (bull) 18'Fig. 2: "Real art" cow in the dining room of the SWOPA(Sirigu Women Organization for Pottery and Art) visitor center. Sirigu, Ghana, 2008. Which biotic and abiotic factors are different between a lion and a deer? You work part-time evenings and weekends as a real estate salesperson. You also work full-time for an IT consulting group. When ordering business cards for your real estate business, you decided to include your full-time work email address. As a result, you frequently find yourself receiving and sending emails related to your real estate work from your computer at your IT consulting job. You try to limit this activity to your lunch hour, but there are often urgent messages that require an immediate reply. Lately the number of such emails is increasing. Sometimes you worry what would happen if your manager found out about this activity, but cutting off the flow of emails from your clients could have a serious impact on your ability to serve them and earn commissions. What should you do? Provide your answer in 20 statements. Giving Out PointsAnswer Really Good For Brainliest! How much electricity is used to boil 600 g of water if the kettle has a power of 1500 W? The water boiled for 3 minutes and 9 seconds. Water density is 1000 kg/m3, specific heat of water is 4200 J/(kg oC). Use a calculator to solve the equation.9.5x + 0.81 = 2.99The solution is x = Which reason contributes the most to Marguerite's improved feelings about herself? SHOW ALL WORK AND INCLUDE UNITS How many kilojoules of heat are released when 0.72 mole of oxygen gas are used to combust methane?CH4 (g) + 2O2 (g) CO2 (g) + 2H2O () + 890kJ hi guys i have a question a very simple one what is 2000 divied by 70 Help pls with a question. pls answer as soon as quickly You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls? help me, please and ty which equation is true ?4/-9 = -4/94/-9 = 2/-34/-9 = 4/94/-9 = 2/3