# How do you solve the system of equations #3x + y = 16# and #2x + y = 11#?

##### 2 Answers

#### Explanation:

Solving *simultaneously* :

*Multiply*

Add

*Substitute the value of

#### Explanation:

The methods shown by other contributors are the elimination method and the graphical method.

Another option is the method of **equating variables.**

This is particularly useful for finding the point of intersection of two straight lines algebraically.

In the two equations, notice that they have the **SAME y-TERM**

Make

We know that the value of

There are now 2 equations to use to find

Substitute

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Another option:

Often we forget how useful it is to just look at equations first and we set off doing calculations instead of thinking first.

In

the left hand sides only differ by

the right hand sides differ by 5.

If you know the value of