Question

if x+3y=-2 and 2x-6y=-8, which of the following equation is true?

A) 3X-3Y=-6
B) 12y=4
C) x-9y=-10
D) 3X=5

Answer 1

Your answer is B) 12y = 4

You can find this by first rearranging the equation x + 3y = -2 to the form ‘x =‘:
x = -2 - 3y.

Then you can substitute this into the second equation, 2x - 6y = -8, and expand and solve:
2(-2 - 3y) - 6y = -8
-4 - 6y - 6y = -8
-12y = -4

Now because we know that -12y = -4, this is equivalent to 12y = 4, which is option B.

I hope this helps! Let me know if you have any questions :)