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6 votes
6 votes
Solve the following system of equations.
-2x+y = 9
5x+y = -12

User Pim Broens
by
3.1k points

1 Answer

22 votes
22 votes

Answer: (x,y) = (-3,3)

Explanation:

1. Solve the equation for y

y=9+2x

2. Substitute the given value of y into the equation 5x+y= -12

5x+9+2x= -12

3. Solve x variable

x= -3

4. Substitute the given value of x into the equation y=9+2x

y=9+2x(-3)

5. Solve the equation for y

y=3

Final answer:

x=-3

y=3

User Zuzana
by
3.0k points