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What is the solution to the system of linear equations?

{ 4x+3y=54

3x+9y=108

( , )

User Swollavg
by
6.8k points

2 Answers

0 votes

Answer:

(6,10)

Explanation:

User Daniel Mackay
by
6.7k points
3 votes
You can solve this by using the elimination method.

Start by multiplying the first equation by -3:

-3(4x+3y=54)

Now we have:

-12x-9y=-162

3x+9y=108

Add these equations to eliminate y:
-9x=-54

Divide both sides by -9 to get:
x=6

Plug x=6 into 2nd equation:

3(6)+9y=108

18+9y=108

18-18+9y=108-18

9y=90
y=10

Final answer:
(6,10)
User YPCrumble
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6.5k points