# How do you solve the following system: #x - 3y = -1 , 8x-y=19 #?

##### 1 Answer

If you start to use decimals you will introduce errors. keep to fractions!

#### Explanation:

The objective when solving an equation is to have only 1 unknown and some numeric values. This is then solvable.

For a system to be solvable you have to have the same count of equations as the count of unknowns.

You have two unknowns and two equations so this system is solvable.

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Change one of the equations so that there is the same count of the variable

Given:

Multiply equation (2) by 3 so that we have the same number of

I do not like it this way round for subtraction so reverse order

Subtraction

Divide both sides by 23 giving

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Substitute

I chose equation (1) to make the calculation easier!

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