203k views
3 votes
Find the solution to the system of equations -3x-9y=18 4x+3y=12

1 Answer

4 votes

Answer:

(6,-4)

Explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12 Multiply 4(6)

24+3y = 12 Subtract 24 from both sides

3y = -12 Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

User Gtalarico
by
7.8k 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