Question

Find the solution to the system of equations shown below.

4y+12x=10
2y-6x= -8
A. No Solution
B. x= -6, y=2
C. x=13/12, y= -3/4
D. More than 1 solution

Answer 1

4y+12x=10....(1)
2y-6x= -8....(2)
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(1)+2(2)

4y+12x=10
4y-12x= -16
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8y = -6
y= -6/8
y= -3/4

y in (2)
2y-6x= -8
2(-3/4)-6x= -8
-3/2-6x= -8
-3/2+8=6x
13/2=6x
(13/2)/6=x
13/12=x
x=13/12

answer: C

I hope it helps you :)