## Substitution Method

**Calculate value of x and y**: Equations are y-x = 3 and 2(x + y) = 14

**Solution**:

In substitution method, we have a given equation of two variables, x and y.

First, divide in second equation by 2 in both sides.

x + y = 4 …. (1)

y – x = 3 => y = x + 3 ….(2)

Now, put the value of y in equation 1 and solve the equation for x, i.e

x + (x + 3) = 4

x + x + 3 = 4

2x = 4 –3

which gives x = 1/2.

Now, substitute x = 1/2 in any one of the given equation and find the value of y

y = 1/2 + 3

y = 7/2

Answer is : x = 1/2, y = 7/2