Question

Solve the system of equations by the addition method.



Choose one answer.
a. (-1, 3)
b. (1, 3)
c. (-1, -3)
d. (1, -3)

Answer 1

multiply the first equation by 7 and the second equation by 2 to get:

-14x-35y=119
and
14x-6y=4

Then add the two equations together to get
0-41y=123
solve for y
y=123/(-41)= -3

plug y=-3 back into one of teh original equations
-2x-5(-3)=17
solve for x
x=-1

so the answer is (-1,-3)