Answer:
x = 0.5 or 1/2
y = 4
Step-by-step explanation:
to solve this simultaneous equation , using the substitution method we are going to say that
let
2x + 3y = 13................................... equation 1
4x - y = -2.................................... equation 2
from equation 2
4x - y = -2.................................... equation 2
collect the like terms
4x+2 = y
y = 4x + 2................................. equation 3
put the value of y into equation 1
2x + 3y = 13................................... equation 1
2x + 3(4x+2) = 13
2x + 12x + 6 = 13
14x = 13 -6
14x = 7
divide both sides by the coefficient of x
we have
14x/14 = 7/14
x = 1/2 or 0.5
substitute for x = 1/2 in equation 3
y = 4x + 2................................. equation 3
y = 4(0.5) + 2
y =2+2
y = 4
