Answer:
C:(-1,2)
Step-by-step explanation:
This is a system of linear equations and can be solved by elimination method.
Step 1
A=8x-6y=-20
B=-16x+7y=30
Multiply equation A by 7 and equation B by -6
7A=56x-42y=-140
-6B=96x-42y=-180
Step 2
Eliminate the term that has y by subtracting each term in equation A from each corresponding term in equation B
40x=-40
Step 3
Divide both sides of the equation by 40, the coefficient of x in order to find the value of x
40x/40=-40/40
x=-1
Step 4
Put x=-1 in equation B
B=-16x+7y=30
-16(-1)+7y=30
16+7y=30
Step 5
Collect like terms by subtracting 16 from both sides
16+7y-16=30-16
7y=14
Step 6
Divide both sides of the equation by 7, the coefficient of y
7y/7=14/7
y=2
Therefore, the solution to the system of equations is
(-1, 2)
