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

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Answer 1 · 2015-10-08T19:19:47

The answer would be (4, -2)

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.