What is the solution to the system of equations? y = 3x + 7, y = x - 9.

Solution:

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

We have been two linear equations that are y = 3x + 7 and y = x - 9.

Let us first solve for x.

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

3x + 7 = x - 9

2x = -16

x = -8

If x = -8 then on substituting the value of x in any one of the equations we get the value of y.

Let us substitute the value of x in the equation y = x - 9 and on solving we get y = -17

You can use Cuemath's online Solving Linear Equations Calculator to verify the answer.

Hence, x = -8 and y = -17 are the solutions to the equations.

What is the solution to the system of equations? y = 3x + 7, y = x - 9.

Summary:

x = -8 and y = -17 are the solutions to the equations.