Question

# Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y

48=2X+ 2Y

Hint:

### Use the method of substitution.

## The correct answer is: x=15 and y=9

### Complete step by step solution:

In the substitution method, we need to work only on one equation, instead of

two equations.

We need only a few steps to solve since we have only 1 equation.

Let x = 6 + y…(i)

and 48 = 2x + 2y….(ii)

On substituting (i) in (ii), we get

48 = 2(6 + y) + 2y

⇒ 48 = 12 + 2y + 2y

⇒ 48 = 12 + 4y

⇒ 48 -12 = 4y

⇒ 36 = 4y

⇒4y =36

⇒ y = 9

On substituting the value of y in (i), we get

x = 6 + 9

⇒ x = 15

Hence we get x = 15 and y = 9

On substituting (i) in (ii), we get

On substituting the value of y in (i), we get

Hence we get x = 15 and y = 9