3x + 4y = -23 2y - x = -19 What is the solution (x, y) to the system of equations above? A) (-5,-2) B) (3, -8) C) (4, -6) D) (9,-6)

Question

asked Jul 20, 2023 217k views

2 Answers

Mafujul · Answer 1 · 2023-07-27T12:56:52+0000

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Step-by-step explanation:

I'll use the substitution method.

Let's solve the second equation for x.

2y - x = -19

-x = -19-2y

x = 19+2y

Then plug that into the first equation

3x + 4y = -23

3( x ) + 4y = -23

3(19+2y)+4y = -23

3*19 + 3*2y + 4y = -23

57+6y+4y = -23

57+10y = -23

10y = -23-57

10y = -80

y = -80/10

y = -8

Use this y value to find x.

x = 19+2y

x = 19+2(-8)

x = 19-16

x = 3

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Summary:

We found that x = 3 and y = -8

The ordered pair solution is therefore (x,y) = (3, -8)

Technically you could have stopped once reaching y = -8, since choice B is the only one that fits the description. But it helps to have practice.