How do you solve the system of equations: y = 3x - 4 and 2x - y = 1?

2 Answers
Sep 17, 2015

I found:
x=3
y=5

Explanation:

You can substitute the value of y from the first equation into the second and solve for x as:
2x-color(red)([3x-4])=1
2x-3x+4=1
-x=-3
x=3
substitute back this value into the first equation to find y:
y=3*(3)-4=5

Refer to explanation

Explanation:

We have two equations

y=3x-4 and y=2x-1 Multiply the first with 2 and the second with three and substract them

2y-3y=2*(3x-4)-3(2x-1)=>-y=-5=>y=5 and x=3