What is the y-value in the solution to this system of linear equations? 4x+5y=-12
-2x+3y=-16

y= -4

Step-by-step explanation:

In order to solve the given system of linear equations, you can perform a method for solving it. For example, the method of solving by substitution, which consists in solving one of the equations for one variable (in this case x or y) and then replace it in the other equation.

If you solve the first equation for variable x:

4x+5y= -12

Subtracting 5y in each side:

4x+5y-5y= -12 -5y

4x= -12-5y

Dividing by 4 in each side:

4x/4 = (-12-5y)/4

Replacing the value of x in the second equation -2x+3y = -16

Applying the distribution property:

Subtracting 6 in each side:

6 + -6 = -16 -6

Multiplying by in each side:

y = -4

If you want to find the value of x you have to replace the value of y in the first equation

4x+5(-4) = - 12

Therefore x=2

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