What is the solution to the system of equations? y = -5x + 6, y = -3x - 4

Solution:

We will use the substitution method in order to find the solution to the system of equations.

We have been two linear equations that are y = -5x + 6 and y = -3x - 4.

Let us first solve for x.

For solving for x, let us first equate the value of y.

-5x + 6 = -3x - 4

-2x = -10

x = 5

If x = 5, then on substituting the value of x in any of the equations we get the value of y.

Let us substitute the value of x in the second equation and on solving we get y = -19

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Hence, x = 5 and y = -19 are the solutions to the equations.

What is the solution to the system of equations? y = -5x + 6, y = -3x - 4

Summary:

x = 5 and y = -19 are the solutions to the equations.