Question

HELP PRETTY PLEASE THIS IS URGENT NEED IN THE NEXT HOUR!!

Solve the system of equations by using substitution. List your answer as an ordered pair.
3x+2y=6
2/3y-x=6

Answer 1

(- 2, 6 )

Explanation:

Given the equations

3x + 2y = 6 → (1)

`(2)/(3)` y - x = 6 ( multiply through by 3 to clear the fraction )

2y - 3x = 18 ( add 3x to both sides )

2y = 18 + 3x → (2)

Substitute 2y = 18 + 3x into (1)

3x + 18 + 3x = 6

6x + 18 = 6 ( subtract 18 from both sides )

6x = - 12 ( divide both sides by 6 )

x = - 2

Substitute x = - 2 into (1) and solve for y

3(- 2) + 2y = 6

- 6 + 2y = 6 ( add 6 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (- 2, 6 )