What is the solution to the system of equations?
y = –3x – 2
5x + 2y = 15
1 answer:
Answer:
x = -19
y = 55
Step-by-step explanation:
Given:
y = –3x – 2 (rearrange)
3x + y = -2 -----> eq1
5x + 2y = 15 -----> eq2
multiply eq1 by 2:
6x + 2y = -4 -------> eq 3
By elimination: subtract eq2 from eq 3
( 6x + 2y) - (5x+2y) = -4 - 15
x = -19 (Answer)
substitute x = -19 into eq1
3(-19) + y = -2
-57 + y = -2
y = -2 + 57 = 55 (Answer)
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