Solve the system of equations below by elimination.
(Show your work)
x+2y=5
2x+6y=12

Answers

Answer 1
Answer: y = 1 & x = 3

Step 1: Multiply the first equation by -2 so that the equations cancel out the x
-2 ( x + 2y ) = 5

Step 2: Simplify
-2x -4y = - 10


Step 3: Add equations
(-2x - 4y = -10)
+ (2x + 6y = 12)
————————-
2y = 2

Step 4: Simply by dividing both sides by 2
y = 1

Step 5: Substitute y into either equation & simply
x + 2y = 5
x + 2(1) = 5
x+2=5
x=3

Related Questions

........................

Answers

Answer:

Ello

Step-by-step explanation:

........................

Question
A fence is in the shape of an isosceles triangle with a base of 61 feet. The perimeter of the fence is 190 feet. How long is
each of the equal sides of the fence?
Provide your answer below:
feet

Answers

Answer:

x = 64.5 feet

Step-by-step explanation:

Equations

An isosceles triangle has two sides of the same length and one of different length.

The fence has the shape of an isosceles triangle with a base of 61 feet. The base is the side with a different length.

Call x to the length of each of the equal sides. Since the perimeter is the sum of all three sides, and the perimeter is given as 190 feet, then:

x + x + 61 = 190

Simplifying:

2x + 61 = 190

Subtracting 61:

2x = 190 - 61 = 129

Dividing by 2:

x = 129/2

x = 64.5 feet

Daisy cut a square out of a sheet of graph paper. The square had an area of 16 square cm. She then trimmed 1 cm from each side of the square. What is the area of the snaler square?

Answers

Answer: 4 cm^2, it went from 4x4 to 2x2.. clipped on all sides...

Hope I helped!

Giving me brainliest is much appreciated! :).

MADEAAA HELPPPPPPPPPPPPP MEEEEEEEEE

Answers

Answer:

7 inches

Step-by-step explanation:

IF FGH = QRS, find the measure of

Answers

Answer:

x=9 which makes angle q 28 degrees

Step-by-step explanation:

please mark me as the brainliest

Help me pleaseeee I would be happy
Give a real-world scenario where positive and negative numbers represent opposites
1.what do the positive numbers represent?
2 what do zero represent in this scenario?
3 what do the negative number represent?

Answers

Answer:

how much you have ( tommy plucked 6 apples from a tree)

have nothing  (tommy gave away 6 apples)

have less than 0  ( tommy gave away 6 apples)

6-6=0

Step-by-step explanation:

9. SHOW FULL STEPS. Solve for f(-4) and f(7) of the function below
f(x)=7-2x-3x²​

Answers

Answer:

f(-4) = 33

f(7) = -154

Step-by-step explanation:

In this question, you will solve the function by plugging in the given value.

Solve:

f(-4) = 7 - 2(-4) -3(-4)²​

= 7 - 2(-4) - 48

= 7 + 8 - 48

= 7 - 40

f(-4) = 33

----------------------------------

f(7) = 7 - 2(7) -3(7)²​

= 7 - 2(7) - 147

= 7 - 14 - 147

= 7 - 161

f(7) = -154

Find the time required for an investment of 5000 dollars to grow to 9000 dollars at an interest rate of 7.5
percent per year, compounded quarterly.
Your answer is t =
years.

Answers

Answer:

i think its 3.5 years

Step-by-step explanation:

Solve the inequality, & show step by step

|x+1|>5

Answers

Step-by-step explanation:

Here you go i think its good

Find the constant and exponents of 7y + x-5 + 2

Answers

Answer:

Exponents: 1

Constants: -5, 2

Step-by-step explanation:

7y + x - 5 + 2

Exponents: 1

Constants: -5, 2

NEED HELP AND FAST


Which expression has a value of 17? 12 + 15 ÷ (3 + 2) × 4 (12 + 15) ÷ 3 + 2 × 4 12 + 15 ÷ (3 + 2 × 4) 12 + (15 ÷ 3 + 2) × 4

Answers

Answer:

it's 20 I hope it will help you please follow me

HELPPPPPpPpppppppppppp

Answers

Answer:

360000

Step-by-step explanation

Step-by-step explanation:

36000

move the decimal to right 4 time then fill the blank with 0

example: 3.6×10⁴ = 36000

note: if the power is positive mo right, if negativw movw the decimal point to left

Hello!!:)
Please help me answer 7-10 will give brainlst <3

Answers

Answer:

7. Slope = -7/4

8. Slope = 2

9. Second Point = (0, 0)

10. Second Point = (0 ,-5)

Step-by-step explanation:

Find the slope: Slope Formula = y2-y1/x2-x1

7. (2, 4) and (6, -3)

x1,x2 = (2, 4) y1,y2 = (6, -3)

(-3 - 4)/(6 - 2)

-7/4

8. (-5, 1) and (-1, 9)

x1,x2 (-5, 1) y1,y2 (-1, 9)

(9 - 1)/(-1 - (-5))

8/4

2

Second Point on Line:

9. We know: slope = 1/2, and (2, 1) is on the line; So:

y = 1/2x + b where we have to still find b

so b = y1 - m * x1

b = 1 - 1/2 * 2

b = 1 - 1

b = (0,0)

If you plug this in to the slope formula, it comes out to 1/2

10. We know: slope = -4, and (-3, 7) is on the line; So

y = -4x + b where we have to still find b

so b = y1 - m * x1

b = 7 - (-4) * -3

b = 7 - 12

b = (0,-5)

If you plug this in to the slope formula, it comes out to -4

BRAINLIEST AND EXTRA POINTS IF U HELP !

Gina has 26 more barrettes than Holly.

The equation g = 26 + h, where g represents the number of barrettes Gina has, and h represents the number of barrettes Holly has, shows this relationship.

If Gina has 49 barrettes, how many barrettes does Holly have?
A. 23
B. 72
C. 75
D. 19

Answers

Answer:

its A 23

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

3. Which of the following objects does not have three dimensions?

a cube

a house

a soda can

a line

Answers

Line because a line is not 3-D

Help don’t understand

Answers

Answer:

Wait u don’t understand what is there supposed to be a pick or something?

Step-by-step explanation:

I need help please thanks

Answers

Answer:

12

Step-by-step explanation:

12

Can someone please help

Answers

I need points lol ,, i hope you find your answer i guess .

Solve this system by elimination

10x+6y=14
-x-6y=-23

Show step by step

Answers

Answer:

(-1, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

10x + 6y = 14

-x - 6y = -23

Step 2: Solve for x

Elimination

Add 2 equations together:                    9x = -9Divide 9 on both sides:                          x = -1

Step 3: Solve for y

Define original equation:                    -x - 6y = -23Substitute in x:                                     -(-1) - 6y = -23Multiply:                                                1 - 6y = -23Subtract 1 on both sides:                     -6y = -24Divide -6 on both sides:                      y = 4

Need help quickly, please and thank you;

Answers

f(x) = y = -1/3x + 0
g(x) = y= -1/3x - 3

I don’t think that you have to include the y in the equations. It really depends on what your teacher wants. ;)

Hope this helps✨❤️
Merry Early Christmas!

SOMEONE AWNSER FAST PlS

Answers

Answer:

15X - 11 = <LMN

Step-by-step explanation:

add the two expressions together

Ja’Miya needs to save $84. She has saved $63. What percent of the money she needs , has she saved

Answers

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

4√7+(2/√7+1/√5)·√35-(1/√125-1/√175)·25√35-7√5=

Answers

Sir is this high school math or something like that because I never seen this in middle school

Easton is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Easton scored a total of 21 points and made twice as many two point shots as three point shots. Write a system of equations that could be used to determine the number of two point shots Easton made and the number of three point shots he made. Define the variables that you use to write the system

Answers

Answer:

2+3y=21

x=2y

Step-by-step explanation:

Each two point shot scores 2 points, so xx two point shots would score 2x points. Each three point shot scores 3 points, so y three point shots would score 3y points. Therefore, the total number of points scored 2x+3yy equals 21

Since Easton scored twice as many two point shots as three point shots, he made more two point shots, so if we multiply 2 by the number of three point shots made, we will get the number of two point shots made, meaning x equals 2y

Which of the following expressions is in simplified form?
-9+ 2.7x + 0.8
03 w+ 1.3w
62 - 4
02t - 5 - t

Answers

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

Samir is a self-employed marketing consultant. He had no income from January through March 2020. His April through December 2020 income subject to SE tax is $55,000.
Samir's SE tax for 2020 is $7,771 [$55,000 x 0.9235 x 0.153 = $7,771]. Samir may reduce his estimated tax payments by how much?

Answers

Answer:

Step-by-step explanation:

Since he is his own boss, he is basically a self employed taxpayer and should be to deduct the employer portion of self employment taxes that he/she pays during the year.

In a case like this, the total self employment taxes are $7,771 x 50% = $7,771 * 0.5 = $3,885.50. This money also now, is corresponding to employer taxes (the other 50% are not deductible since they correspond to employee taxes).

Self employment taxes composes but not limited to Medicare and Social Security taxes (FICA taxes basically).

Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1. A −1 B 1 C −5 D 5

Answers

Answer:

D. 5

Step-by-step explanation:

From the information given:

The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

where; the two points are:

(-1 , f( -1) )    &    ( 1,  f(1) )

For f(1); we have:

f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2

f(1) = 1 + 3 - 5 + 2 -2

f(1) = - 1

For  f( -1); we have:

(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2

= 1 - 3 - 5 -2 - 2

= -11

[tex]=\dfrac{-1-(-11)}{1 - (-1)}[/tex]

[tex]=\dfrac{-1+11}{1 +1}[/tex]

[tex]=\dfrac{10}{2}[/tex]

= 5

Which is the correct answer when solving the equation using
elimination?

1. -4x - 2y = -12
4x + 8y = -24

A. (6,-6) because I was able to eliminate my y terms first
B.(-6,6) because I was able to eliminate my y terms first
C.(6,-6) because I was able to eliminate my x terms first
D.(-6.6) because I was able to eliminate my x terms first

Answers

Answer:

We conclude that the correct option is 'A'.

As I was able to get (6, -6) because  I was able to eliminate my y terms first.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}-4x-2y=-12\\ 4x+8y=-24\end{bmatrix}[/tex]

solving using the elimination method

[tex]4x+8y=-24[/tex]

[tex]+[/tex]

[tex]\underline{-4x-2y=-12}[/tex]

[tex]6y=-36[/tex]

so

[tex]\begin{bmatrix}-4x-2y=-12\\ 6y=-36\end{bmatrix}[/tex]

solve for y

[tex]6y=-36[/tex]

Divide both sides by 6

[tex]\frac{6y}{6}=\frac{-36}{6}[/tex]

[tex]y=-6[/tex]

[tex]\mathrm{For\:}-4x-2y=-12\mathrm{\:plug\:in\:}y=-6[/tex]

[tex]-4x-2\left(-6\right)=-12[/tex]

[tex]-4x+12=-12[/tex]

[tex]-4x=-24[/tex]

Divide both sides by -4

[tex]\frac{-4x}{-4}=\frac{-24}{-4}[/tex]

[tex]x=6[/tex]

Thus, the solutions are:

[tex]x=6,\:y=-6[/tex]

Therefore, we conclude that the correct option is 'A'.

As I was able to get (6, -6) because  I was able to eliminate my y terms first.

5 < k -2 < 11 ?
-4 > y + 2 > -10 ?
5 -m < 4 or 7m > 35 ?
3 < 2p -3 < 12 ?

Answers

Answer:

[tex]7 < k < 13[/tex]

[tex]-6>y>-12[/tex]

[tex]m > 5[/tex]

[tex]3 < p < \frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]5 < k -2 < 11[/tex]

[tex]-4 > y + 2 > -10[/tex]

[tex]5 -m < 4\ or\ 7m > 35[/tex]

[tex]3 < 2p -3 < 12[/tex]

Required

Solve

Solving (1):

[tex]5 < k -2 < 11[/tex]

The above can be represented as:

[tex]5<k -2[/tex] and [tex]k -2<11[/tex]

Solving [tex]5<k -2[/tex]

[tex]5 + 2 <k[/tex]

[tex]7<k[/tex]

Solving [tex]k -2<11[/tex]

[tex]k < 2 + 11[/tex]

[tex]k < 13[/tex]

So, we have:

[tex]7<k[/tex] and [tex]k < 13[/tex]

This can be combined as:

[tex]7 < k < 13[/tex]

Solving (2):

[tex]-4 > y + 2 > -10[/tex]

Split as:

[tex]-4 > y + 2[/tex] and [tex]y + 2 > -10[/tex]

Solving [tex]-4 > y + 2[/tex]

[tex]-4 - 2 > y[/tex]

[tex]-6 > y[/tex]

Solving [tex]y + 2 > -10[/tex]

[tex]y > -10 - 2[/tex]

[tex]y > -12[/tex]

So, we have:

[tex]-6 > y[/tex] and [tex]y > -12[/tex]

This gives

[tex]-6>y>-12[/tex]

Solving (3):

[tex]5 -m < 4\ or\ 7m > 35[/tex]

Solve for m in both cases:

[tex]5 - m < 4[/tex]

[tex]-m<4 - 5[/tex]

[tex]-m<- 1[/tex]

[tex]m > 1[/tex]

[tex]7m > 35[/tex]

Divide both sides by 5

[tex]m > 5[/tex]

So, we have:

[tex]m > 1[/tex] or [tex]m > 5[/tex]

The solution is [tex]m > 5[/tex] because [tex]5> 1[/tex]

Solving (4):

[tex]3 < 2p -3 < 12[/tex]

The above can be represented as:

[tex]3 < 2p - 3[/tex] and [tex]2p - 3<12[/tex]

Solving [tex]3 < 2p - 3[/tex]

Add 3 to both sides

[tex]3 + 3 < 2p - 3 + 3[/tex]

[tex]6 < 2p[/tex]

Divide both sids by 2

[tex]3 < p[/tex]

[tex]2p - 3<12[/tex]

Add 3 to both sides

[tex]2p - 3 + 3 < 12 + 3[/tex]

[tex]2p < 12 + 3[/tex]

[tex]2p < 15[/tex]

Solve for p

[tex]p < \frac{15}{2}[/tex]

So, we have:

[tex]3 < p[/tex] and [tex]p < \frac{15}{2}[/tex]

Combined as:

[tex]3 < p < \frac{15}{2}[/tex]

reciprocal of 4 3/5 ​

Answers

Answer:

5/23 (Simplified)

Step-by-step explanation:

There ya go.. :D

5/23 ..................
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