Solve linear equations by substitution method

Question

3x-y=2, 5x-2y=6

Answer 1

Substitution method:

The system of equations are 3x - y = 2  ---> (1)

                                          5x - 2y = 6 ---> (2)

Simplify equation (1), for y.

3x - y = 2

y = 3x - 2.

Substitute y =  3x - 2 in equation (2), for x.

5x - 2(3x - 2) = 6

5x - 6x + 4 = 6

- x = 6 - 4

x = - 2.

Substitute x = - 2 in y = 3x - 2.

y = 3(- 2) - 2

y = - 6 - 2

y = - 8.

The solution of the system is (x, y) = (- 2, - 8).