Answer:
x = 1
Step-by-step explanation:
from the question , given that
x+y=4 and y-x=2
then x=?
so find the value of x i will solve it using substitution method
so, let
x+y=4........................... equation 1
y-x=2............................ equation 2
from equation 1
x+y=4........................... equation 1
x = 4 - y ............................ equation 3
substitute the value of x into equation 2
y-x=2............................ equation 2
y - ( 4 -y) = 2
y -4 + y = 2
collect the like terms
2y - 4 = 2
2y = 2 + 4
2y = 6
divide both sides by 2
2y/2 = 6/2
y = 3
put the value of y = 3 into equation 3
x = 4 - y ............................ equation 3
x = 4 -3
x = 1
to check if your answer is correct put the value of x and y into either equation 1 or equation 2 and check if your right handside is equal to your left handside.
x+y=4........................... equation 1
1 + 3 = 4
4 = 4................................... proved
