192k views
3 votes
Solve by using substitution 2x-3y=-12 and x+y=9

User Runes
by
8.8k points

1 Answer

7 votes
Answer: (3,6)

Step-by-step explanation:
So in this question, you have to rearrange the second equation so that either x or y is isolated. I’m going to stick with x for now. First, subtract y from both sides to get x=-y+9. Then, substitute x into the first equation and solve:
2(-y+9)-3y=-12
-2y+18-3y=-12
-5y+18=-12
-5y=-30
y=6
Then, substitute y=6 into any of the 2 equations (preferably the second one) in order to get x:
X+6=9
x=3

You can also check this by substituting x and y into both equations. Hope this helps!
User Phill
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories