Question

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

Answer 1

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.
`3x+y=17`
`y=17-3x`

Now, you can plug in what you got for y into the FIRST equation.
`4x-2y=6`
`4x - 2(17-3x)=6`

Develop your answer and move similar terms to each side.
`4x-34+6x=6`
`4x+6x=6+34`
`10x=40`

Solve for x.
`x=40/10`
`x=4`

Answer 2

y = 5, while x = 5

Explanation:

Let

A: `4x-2y = 6`
B: `3x + y = 17`

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

Thus gives us B: `y = 17 - 3x`

Then substitute this value of y into equation A:

thus we get `4x - 34 + 6x = 6`

if we rearrange this, we get `x = 4`

If we put this into the rearrange form of B: we get `y = 5`