How do you solve x+2y=5 and 2x-2y=4?

Aug 3, 2015

The solution for the system of equations is
color(blue)(x=3,y=1

Explanation:

$x + \textcolor{b l u e}{2 y} = 5$ .....equation $\left(1\right)$
2x−color(blue)(2y)=4....equation $\left(2\right)$

We can solve the equations through elimination
Adding the two equations results in elimination of color(blue)(2y

$x + \cancel{\textcolor{b l u e}{2 y}} = 5$
2x−cancelcolor(blue)(2y)=4

$3 x = 9$
color(blue)(x=3

Substituting $x$ in equation $1$ to find $y$
$x + 2 y = 5$
$2 y = 5 - x$
$2 y = 5 - 3$
color(blue)(y=1