You can solve this by using the elimination method.
Start by multiplying the first equation by -3:
[tex]-3(4x+3y=54)
[/tex]
Now we have:
[tex]-12x-9y=-162
[/tex]
[tex]3x+9y=108
[/tex]
Add these equations to eliminate y:[tex]-9x=-54
[/tex]
Divide both sides by -9 to get:
x=6
Plug x=6 into 2nd equation:
[tex]3(6)+9y=108 [/tex]
[tex]18+9y=108[/tex]
[tex]18-18+9y=108-18[/tex]
[tex]9y=90[/tex]
y=10
Final answer:
(6,10)
