Give the system of equation:
2x + 7y = 8
y + 2x = 14
Rearrange:
2x + 7y = 8 .......... 1
2x + y = 14 ............2
To use elimination method, we will simply subtract equation 1 from 2 as shown:
(2x-2x)+(7y-y) = 8-14
0+6y = -6
6y= -6
Divide both sides by 6
y = -6/6
y = -1
Substitute y = -1 into equation 2 to get x
From 2: 2x + y = 14
2x +(-1) = 14
2x-1 = 14
2x = 14+1
2x = 15
x = 15/2
x = 7.5
Hence x = 7.5, y = -1