Question

What is the value of x in the solution to the system of linear equations?

y=3x+2
y=x-4

Answer 1

simply equate both eq as both are equal y so you get

x-4=3x+2
=>3x-x=-4-2
=>2x=-6
=>x=-3

Answer 2

so since you have 2 equations both equal to y we know they can be equal to each other soooo.....
3x+2=x-4
2x+2=-4
2x=-6
x=-3
then plug that in into any of the equations to get y. I chose y=x-4 just cuz .
y=(-3)-4
y=-7
so your final solution will be x=-3 and y=-7 (-3,-7)