Mathematics

Grade10

Easy

Question

# Solve the following using the substitution method and find the value of *x* and *y*:

4x – 4y = 32

4x – 2y = 14

- 5, 3
- -5, -3
- -1, -9
- 1, 2

Hint:

### The linear equation in two variable is an equation with two variable and degree one.

## The correct answer is: -1, -9

### Step 1 of 1:

We have given two linear equation

4x – 4y = 32....(i)

4x-2y=14.....(ii)

Rewrite first equation,

4(x – y) = 32

x – y = 8

y = x – 8

Substitute the value of y in 2nd equation.

4x – 2(x - 8) = 14

4x – 2x + 16 = 14

2x + 16 = 14

2x = -2

x = -1

Now put the value of x and find the value of x.

-1 – y = 8

y = -9

In the substitution method, we first write one variable in the form of another variable.