Q:

What is the solution of the system? Use the substitution method.3x + 2y =11x − 2 = −4yA.The only solution is (12, −52) .B. The only solution is (4, −12) .C. There is no solution.D. There are an infinite number of solutions.

Accepted Solution

A:
Start by isolating one of the variables
x=-4y+2
Sub x into the other formula and solve for the y value of the solution.
3(-4y+2)+2y=11
-12y+6+2y=11
-12y+2y=11-6
-10y=5
y=-1/2
Sub the y value into the x formula you created.
x=-4(-1/2)+2
x=2+2
x=4
Therefore the solution is (4,-1/2) I think the answer is B unless the y value is actually -12.
Hope this helps :)