Question

Solve the following system of equations.

x − 2y = 5
−3x + 2y = 7

A. x = 3, y = −1
B. x = 11, y = 11/2
C. x = 3, y = 1
D. x = −6, y = -11/2

Answer 1

Hey Kayla!

Let me help you out real quick.

x - 2y = 5
-3x + 2y = 7

We need to solve x - 2y =5 for x
x - 2y = 5
x = 5 + 2y
Now substitute 2y + 5 for x in -3x + 2y = 7
-3x + 2y = 7
-3(2y + 5) + 2y = 7
-6y - 15 + 2y = 7
-4y - 15 = 7
-4y = 7 + 15
-4y = 22
y = 22/-4
y = -11/2

Now we need to substitute -11/2 for y in x= 2y + 5
x = 2y + 5
x = 2(-11/2) + 5
x = -22/2 + 5
x = -6

Thus,

The answer is x = -6 and y = -11/2

The correct answer is option D

Good luck with your studies :)

You got it!