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 :)