Q:

a system of equations is shown below 5x +2y =-15 2x - 2y =-6 what is the solution to the problem

Accepted Solution

A:
Answer:(-3, 0)Step-by-step explanation:Let's solve this system using the elimination by addition/subtraction method.  Begin by writing the two equations one above the other:5x +2y =-15 2x - 2y =-6Notice that the y terms cancel each other out:5x +2y =-15 2x - 2y =-6------------------ 7x        = -21Dividing both sides by 7 results in x = -3.Subbing -3 for x in either of the given equations leads to finding y:5(-3) + 2y = -15, or -15 + 2y = -15.  This results in 2y = 0, or y = 0.The solution is (-3, 0).