Mathematics

Grade10

Easy

Question

# The difference of 5 times *x* and 4 times *y *is 1. And the difference of 2 times *x* and *y* is -2. Find the value of *x* and *y.*

- -1, -2
- -3, -4
- 1, 2
- 3, 4

Hint:

### An equation with the maximum order of 1 and an equation of a straight line is called the linear equation.

## The correct answer is: -1, -2

### Step 1 of 1:

We have given the difference of 5 times *x* and 4 times *y *is 1. And the difference of 2 times *x* and *y* is -2.

5x – 4y = 1……………………….. 1

2x - y = -2……………………… 2

From 2

2x – y = -2

-y = -2 – 2x

y = 2x + 2

Substituting *y* in 1^{st} equation,

5x – 4(2x + 2) = 1

5x – 8x - 8 = 1

-3x - 8 = 1

-3x = 9

x = -1

y = 2x + 2

= 2(-1) + 2

=-4 + 2

= -2

The substitution method is the algebraic method to solve simultaneous linear equations.