Question

Solve the following system of equations (using the Elimination method) and show all of your work.

2x + 5y = −3
−15x − 5y = −10

Answer 1

2x + 5y = - 3
-15x - 5y = - 10
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- 13x = - 13
x = -13/-13
x = 1

now sub 1 into either of the original equations...
2x + 5y = - 3
2(1) + 5y = - 3
2 + 5y = - 3
5y = - 3 - 2
5y = - 5
y = - 1

check...
-15x - 5y = - 10
-15(1) - 5(-1) = - 10
-15 + 5 = - 10
- 10 = - 10 (correct)

ANSWER: x = 1 and y = - 1