118k views
5 votes
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

HELP PRETTY PLEASE THIS IS URGENT NEED IN THE NEXT HOUR!! Solve the system of equations-example-1
User Hahakubile
by
8.6k points

1 Answer

3 votes

Answer:

(- 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 )

User Hydra
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories