Solving Linear Equation by Substitution Method

The substitution method is another technique for solving systems of linear equations.

We're asked to solve this system of equations:
2y - 4x = 2
y -x = 4

Now we will find the value of x in second equation:
x = y - 4

Put the value of x in first equation.
2y - 4(y - 4) = 2
2y - 4y + 16 = 2
-2y = -16 +2
-2y = -14
y = 7

Now, put the value y=7 in second equation and we will get
7 - x = 4
x = 3


The solution of the linear system is (3, 7).