How do you solve 2x – y = –2 and x = 14 + 2y?

Question

2341 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-11T11:27:35

${(x = -6), (y=-10) :}$

Your system of equations looks like this

${(2x-y = -2), (x = 14 + 2y) :}$

To solve this system by substitution, use the value of $x$ from the second equation to find the value of $y$ in the first equation.

$2 * (14 + 2y) - y = -2$

$28 * 4y - y = -2$

$3y = -30 implies y = (-30)/3 = color(green)(-10)$

Now take this value back to the second equation and find $x$

$x = 14 + 2 * (-10)$

$x = 14 - 20 = color(green)(-6)$

The two solutions to your system of equations are

${(x = -6), (y=-10) :}$