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

------------------

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).

Answer 2

Using the elimination method, the solution to the system of equations is: (-7, -4)

What is the Solution to a System of Equations?

Using the elimination method, the solution to the system of equations is found by adding or subtracting the equations to eliminate one variable, then substitute to find the other.

Given the system of equations:

5x + 2y = -15 --> Eqn. 1

2x - 2y = -6 --> Eqn. 2

Add

3x = -21

x = -21/3

x = -7

Substitute x = -7 into Eqn. 2.

2(-7) - 2y = -6

-14 - 2y = -6

-2y = -6 + 14

-2y = 8

y = -4

The solution is (-7, -4)

Learn more about system of equations on:

https://brainly.com/question/14323743