If x+y=4 and y-x=2 then x=?

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