# How do you solve the simultaneous equations # 4x - 2y = 6 # and #3x + y = 17#?

##### 2 Answers

You can isolate one of the variables in one of your equations and plug it into the second. X equals 4.

#### Explanation:

Isolate one of the variables in one of the equations. Here, it's easier to isolate the y of the second equation.

Now, you can plug in what you got for y into the FIRST equation.

Develop your answer and move similar terms to each side.

Solve for x.

y = 5, while x = 5

#### Explanation:

Let

A:

B:

Then rearrange B to get it in terms of y, since it already has y on it's own.

Thus gives us B:

Then substitute this value of y into equation A:

thus we get

if we rearrange this, we get

If we put this into the rearrange form of B: we get