Work Step by Step
We are given two equations, x+3y =7 and 2x-4y=24, both of which have two variables in them. In order to solve this system of linear equations, we must put one expression in terms of one variable. Using the expression x+3y =7, we subtract 3y to obtain x=7-3y. We plug x=7-3y into 2x-4y=24 to obtain that 2(7-3y)-4y = 24. We solve to find that y=-1. We now substitute y=-1 into x=7-3y to obtain that x equals 10.