LearnAlgebraLinear equations

What a solution really means

A solution is a value that makes both sides equal. Everything else in algebra comes from that.

Lesson 1 of 7

Algebra: Linear equations

Before you solve anything, try this: move the slider and watch both sides of the equation.

2x+311

Only one value balances it. That's what the question "solve for " is asking for: not a procedure, but the number that makes the statement true. So you can always check an answer without anyone's help.

Think about it first

If , what is ? Try it without finding .

is exactly double , so it's double 20. The answer is 40, and you never needed . Seeing structure like this saves time on every test.

Work through it

Is a solution of ?

Left side:

Right side:

Both sides match, so yes.

Watch out for this

Plugging a number into only one side and stopping there.

You're comparing two sides. Calculate both, or you haven't checked anything.

Your turn

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