# Simultaneous equations - two equations

Simultaneous equations are two equations with two unknowns. The unknowns have the same values in each equation.

Simultaneous equations should read.

SIMULTANEOUSLY

(at the same time)

There are two EQUATIONS

WITH TWO UNKNOWNS

You are asked to find 2 unkown values by solving two equations.

Below are 3 examples of simultaneous equations:

**Example 1**

`y=4x` ................. equation 1

and `2x+y=6` .......... equation 2

**Example 2**

`5a+2b=18` ................. equation 1

and `3a-5b=17` .................. equation 2

**Example 3**

`0=x^2+2y` ................. equation 1

and `y=3x+4` .................... equation 2