Question

What is the solution to the system of linear equations?

{ 4x+3y=54

3x+9y=108

( , )

Answer 1

(6,10)

Explanation:

Answer 2

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)