Question

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

Answer 1

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 =-6

Notice that the y terms cancel each other out:

5x +2y =-15

2x - 2y =-6

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7x        = -21

Dividing 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).