# How do you solve rational equations #x/2 = 4/7#?

Rearrange the given equation so that we have the unknown(s) on one side and the constants on the other.

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This is why cross multiply works

You are very likely to have been shown this in school:

This is the cross multiply shortcut approach and I would recommend you use it as it is quite fast.

To 'get rid' of something that is multiply or divide turn it into 1

To 'get rid' of something that is add or subtract turn it into 0.

In doing this it turns up on the other side of the equals sign.

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Given:

We need to 'get rid' of the

Multiply both sides by

But

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To solve the rational equation x/2 = 4/7, you can cross-multiply and then solve for x. Multiply both sides of the equation by 2 to eliminate the fraction on the left side. This gives you x = (4/7) * 2. Simplifying further, x = 8/7.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- Suppose z varies directly with x and inversely with the square of y. If z=18 when x=6 and y=2, what is z when x=8 and y=9?
- How do you solve #(x^2-3)/(x+2)=(x-3)/2#?
- Suppose y varies inversely as x and y=24 when x= 3, how do you find x when y = 36?

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