How do you solve $-x + 2y = 6$ and $x + 4y =24$ ?

Question

2404 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-14T17:58:02

The solution for the system of equations is:
$color(blue)(x=4$
$color(blue)(y=5$

$color(blue)(-x) + 2y = 6$ ..............equation $(1)$
$color(blue)( x) +4y=24$ .................equation $(2)$

Solving by elimination.

Adding equations $1$ and $2$ results in elimination of $color(blue)( x)$

$cancelcolor(blue)(-x) + 2y = 6$
$cancelcolor(blue)( x) +4y=24$

$6y= 30$

$y = 30/6$

$color(blue)(y=5$

Finding $x$ from equation $(1)$ :
$-x + 2y = 6$

$2y - 6 = x$

$2 *color(blue)( 5) - 6 = x$

$10 - 6 = x$

$color(blue)(x=4$

How do you solve -x + 2y = 6-x + 2y = 6 and x + 4y =24x + 4y =24?