Y=3x-5

3y-12x=-6

Substitution method

1y = 3x - 5 ⇒ 1y - 3x = - 5 ⇒ 3y + 9x = 15

3y - 12x = - 6 ⇒ 3y - 12x = 6 ⇒ 3y - 12x = 6

21x = 21

21 21

x = 1

y - 3 (1) = - 5

y - 3 = - 5

+3 + 3

y = 2

(x, y) = (1, 2)

Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3x-5.

y=3x-5

3 (3x-5) - 12x=-6

Simplify each term.

y=3x-5

9x-15-12x=-6

Add 9x and - 12x to get - 3x.

y=3x-5

-3x-15=-6

move - 15 to the right-hand side of the equation by adding 15 to both sides.

y=3x-5

-3x=15-6

Subtract 6 from 15 to get 9.

y=3x-5

-3x=9

Simplify

(-3,-14)