Let's go back to fractions. We know that:

If we multiply both sides by 4 and divide both sides by 6, we get:

You will notice that all we did was switch the 4 and 6. The other thing we could have done is multiply both sides by 6 and 8 to get 3 x 8 = 4 x 6. That is the basic idea behind cross-multiplying.

Suppose you have this:

Because 4 = 4/1, all we have to do is cross-multiply the x and 4 to get:Of course, the answer is 6.

Just one warning about cross-multiplying:

Cross-multiplying, we get:

Then subtracting x from both sides, we find that -1 = -2 . If anyone ever proves that for real, maybe we should nominate them for the Nobel Prize for Mathematics. Basic add/subtract solve for x

Basic multiply/divide solve for x

Basic add/multiply mixtures

Solving basic problems involving brackets

What is cross-multiplying?

What is the quadratic formula?

Strategy for solving quadratic problems

Solving quadratic problems involving brackets

Solving quadratic problems involving fractions

Basic multiply/divide solve for x

Basic add/multiply mixtures

Solving basic problems involving brackets

What is cross-multiplying?

What is the quadratic formula?

Strategy for solving quadratic problems

Solving quadratic problems involving brackets

Solving quadratic problems involving fractions

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