Mathematics

Grade10

Easy

Question

# The sum of two numbers is -4. The sum of 3 times the first number and 4 times the second number is -13. Find the numbers

- 1, 4
- -3, -1
- -5, 1
- 3, 5

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: -3, -1

### Step 1 of 1:

We have given the sum of two numbers is -4. The sum of 3 times the first number and 4 times the second number is -13.

Sum of two numbers = -4

Let the numbers be *x* and* y*

x + y = -4…………………………. 1

3x + 4y = -13……………………… 2

From 1

x + y = -4

x = -4 – y

Substituting in 2^{nd} equation,

3(-4 – y ) + 4y = -13

-12 – 3y + 4y = -13

-12 + y = -13

y = -1

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

x + (-1) = -4

x = -4 + 1

x = -3

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