Question

Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9

(–6, –3)


(0, 4)


(–3, 8)


(1, 2)

Answer 1

The correct answer is (1,2)

Steps:
Multiply the second equation by 6 in order to eliminate the x variable.

6x-7y= -8
6(-x-4y= -9)

6x-7y= -8
-6x-24y=-54

Add the equations together and solve for y

-31y= -62
Y=2

Substitute y=2 in the original equation

-x-4(2)= -9
-x-8= -9
-x= -1
X=1

Answer: (1,2)