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

We will use the concept of linear equations in one variable in order to find the solution to the system of equations.

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

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

**Explanation: **

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

Try Cuemath's online Solving Linear Equations Calculator to solve the given system of equations.

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

Math worksheets and

visual curriculum

visual curriculum