How do you check solutions when solving one step equations?

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Answer 1 · 2018-07-05T21:43:08

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

For example:

$x + 9 = 12$ $x+9=12$

Subtract $9$ $9$ from both sides.

$x = 12 - 9$ $x=12-9$

$x = 3$ $x=3$

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

$3 + 9 = 12$ $3+9=12$

$12 = 12$ $12=12$ Check!

Answer 2 · 2018-07-05T22:13:40

See below:

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

For example, if we have the equation

$4 x = 28$ $4x=28$

This easy solves to

$x = 7$ $x=7$

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

$4 (7) = 28$ $4(7)=28$

$\Rightarrow 28 = 28$ $=>28=28$

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

Hope this helps!