# How do you solve the system 3x-5y=7 and 2x+5y=13?

##### 1 Answer

Point of intersection as at

#### Explanation:

Always look for the easiest way, if you can spot it that is! Sometimes you have no choice but to just jump in and do it the hard way. Not so in this case!

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Notice that both equations are in the same order

Notice that the coefficients of

To end up with only one variable and a pile of numeric values. This enables the determination of the variables value.

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Write as:

Add equation (1) to equation (2) to 'get rid of'

Divide both sides by 5 so that you end up with

But

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Substitute

Selecting equation (2) as

Subtract 8 from both sides

Divide both sides by 5

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Point of intersection as at