121k views
3 votes
Worksheet 24.3 Substitution Met

Solve each system by substitut
1) y = 6x-11
-2x-3y=-7

User MWB
by
8.1k points

1 Answer

3 votes

Answer:

(2, 1 )

Explanation:

given the system of equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ( distribute parenthesis on left side and simplify )

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

y = 6(2) - 11 = 12 - 11 = 1

solution is (2, 1 )

User Dbrumann
by
7.2k points