Answer:
(6,0)
Step-by-step explanation:
The given system has equations:
[tex]x-4y=6[/tex]
[tex]2x+2y=12[/tex]
Multiply the top equation by 2 to get:
[tex]2x-8y=12[/tex]
[tex]2x+2y=12[/tex]
Subtract the top equation form the bottom equation to get:
[tex]2x-2x+2y--8y=12-12[/tex]
[tex]\implies 10y=0[/tex]
[tex]\implies y=0[/tex]
Put y=0 into [tex]x-4y=6[/tex]
[tex]x-4*0=6[/tex]
[tex]\implies x=6[/tex]
Therefore the solution is (6,0)
