How do you solve $4x + y = 10$ and $2x – 3y = 12$ ?

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Answer 1 · 2015-03-28T19:58:24

$x = 3 ; y = -2$

By taking the sum of the first equation and second equation scaled by $-2$ you get the resulting equation to solve for $y$ .

$4x + y = 10$
$-4x + 6y = -24$

$7y=-14$
$y= -2$

By substitution of $y= -2$ back into the first equation you can solve for $x$ .
$4x -2 = 10$
$4x = 12$
$x=3$

Hope that was helpful.

How do you solve 4x + y = 104x + y = 10 and 2x – 3y = 122x – 3y = 12?