Question

Select the best possible first step to solving the system by first eliminating the y variable.

x + 8y = –4
2x – 4y = –13


Multiply the first equation by 2.

Multiply the second equation by 2.

Multiply the first equation by –2.

Multiply the second equation by –2.

Answer 1

Multiply the second equation by 2

2*(2x-4y)=2*(-13)

4x-8y= -26

Addition:

x+8y= -4
+
4x-8y= -26

5x+8y-8y= -4+(-26)

5x= -30 Divide wit 5

x= -6

x+8y= -4

-6+8y= -4

8y= -4+6

8y=2 Divide with 8

y=2/8 = 1/4

OR

2x-4y= -13

2*(-6)-4y= -13

-12+4y=-13

-4y= -13+12

-4y= -1 Divide with -4

y=(-1)/(-4)= 1/4