Find the solution to the system of linear equations y = 5x + 4 and y = −3x + 12 using the intersection method. check your answer.
(x, y) =

The solution to the system of linear equations is (1,9).

Step-by-step explanation:

The given system of linear equations

           ... (1)

          .... (2)

Subtract equation (2) from equation (1) to eliminate y.

On combining like terms, we get

Add 8 on both sides.

Divide both sides by 8.

The value of x is 1.

Substitute x=1 in equation (1).

The value of y is 9.

Therefore the solution to the system of linear equations is (1,9).