How do you solve the system of equations 2x - 5y = 92x−5y=9 and 3x + 5y = - 243x+5y=−24?

1 Answer
mimi
Jun 18, 2017

(-3,-3)(−3,−3)

Explanation:

Elimination is the easiest method to solve this system of equations. Add the two equations together. -5y−5y and 5y5y will cancel.
2x-cancel(5y)=9
3x+cancel(5y)=-24

5x+0y=-15
5x=-15

Solve for x.
5x=-15
x=-3

Substitute x for -3 in one of the original equations and solve for y.
2x-5y=9
2(-3)-5y=9
-6-5y=9
-5y=15
y=-3

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

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