Question

How do you solve 3x + 4y = 4 and 2x + y = 6?

Answer 1

The answer would be (4, -2)

Explanation:

We can use substitution to solve this problem.
Let's use the second equation and manipulate it to be equal to y:

`y=6-2x`

We can then plug in this value for the y value in the first equation, getting the following:

`3x + 4(6-2x) = 4`

Then we can simplify that equation to equal this;

`24 - 5x = 4`

Then we can solve for the x value,

`-5x=-20`
`x= 4`

We can then plug 4 in for x into the other equation

`y=6-2(4)`

This shows that y is -2. The point is therefore (4, -2). We can check this by plugging it into the original equations.