Question

How do you solve the system of equations `y- 2x = - 4` and `y + 3x = 16`?

Answer 1

`x = 4` and `y = 4`

Explanation:

We have: `y - 2 x = - 4` and `y + 3 x = 16`

Let's solve each equation for `y`:

`=> y = - 4 + 2 x`

and

`=> y = 16 - 3 x`

Now, that both equation are solved for `y`, we can set them equal to each other:

`=> - 4 + 2 x = 16 - 3 x`

`=> 5 x = 20`

`=> x = 4`

Now, we can find the value of `y` using either one of the equations.

Let's use the first equation:

`=> y = - 4 + 2 (4)`

`=> y = - 4 + 8`

`=> y = 4`

Therefore, the solutions to the system of equations is `x = 4` and `y = 4`.