# How do you check solutions when solving one step equations?

Jul 5, 2018

Substitute the solution for the variable in the equation and see if both sides of the equation are equal.

#### Explanation:

For example:

$x + 9 = 12$

Subtract $9$ from both sides.

$x = 12 - 9$

$x = 3$

Now check by substituting $3$ for $x$ into the equation and solve.

$3 + 9 = 12$

$12 = 12$ Check!

Jul 5, 2018

See below:

#### Explanation:

When we want to check solutions for any equation, we plug the value of the variable in.

For example, if we have the equation

$4 x = 28$

This easy solves to

$x = 7$

We know what $x$ is, so we can plug this value into our equation:

$4 \left(7\right) = 28$

$\implies 28 = 28$

This is true, so $x = 7$ is the correct solution.

Hope this helps!