color(white)(xx)2x-6y=-12×2x−6y=−12, 3x-2y=243x−2y=24
{(2x-6y=-12<=>y=(x+6)/3),(3x-2y=24<=>y=(3x-24)/2):}
color(white)(xx)y=(x+6)/3
=>color(red)((3x-24)/2)=(x+6)/3
Multiply both sides by color(red)6:
color(white)(xx)color(red)(6xx)(3x-24)/2=color(red)(6xx)(x+6)/3
=>9x-72=2x+12
Add color(red)(-2x+72) to both sides:
color(white)(xx)9x-72color(red)(-2x+72)=2x+12color(red)(-2x+72)
=>7x=84
Multiply both sides by color(red)(1/7):
color(white)(xx)color(red)(1/7xx)7x=color(red)(1/7xx)84
=>x=12
color(white)(xx)y=(x+6)/3
color(white)(xxx)=(color(red)12+6)/3
color(white)(xxx)=6
