How do solve the following linear system?: 2x + 4y = 8 , 2x-y=4 ?

1 Answer
Mar 10, 2016

The solution for the system of equations is:
color(green)(x =12 /5
color(green)(y=4/5

Explanation:

color(blue)(2x) +4y=8...........equation (1)
color(blue)(2x)-y=4..............equation (2)

Solving by elimination:
Subtracting equation (2) from (1) results in elimination of 2x:

cancelcolor(blue)(2x) +4y=8
-cancelcolor(blue)(2x) +y= -4

5y= 4

color(green)(y=4/5

Finding x from equation 1:

2x +4y=8

2x =8 - 4y

2x =8 - 4 xx 4/5

2x =8 - 16/5

2x =40/5 - 16/5

2x =24/5

x =cancel24/(5 xx cancel2)

color(green)(x =12 /5