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

Oct 8, 2015

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:

$y = 6 - 2 x$

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

$3 x + 4 \left(6 - 2 x\right) = 4$

Then we can simplify that equation to equal this;

$24 - 5 x = 4$

Then we can solve for the x value,

$- 5 x = - 20$
$x = 4$

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

$y = 6 - 2 \left(4\right)$

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