x If (x, y) is a solution to the system of equations, what is the value of x?

Question

5
-x+y=2
2
2
x + y = 4
3
×
A
B
C
D
E
4
-4
12
-12
no solution exist

Answer 1

To find the value of x, we can solve the system of equations:

1) -x + y = 2
2) x + y = 4

Adding equation 1 and equation 2, we get:
(-x + y) + (x + y) = 2 + 4
y + y = 6
2y = 6
y = 3

Now, substituting the value of y into equation 2, we have:
x + 3 = 4
x = 1

Therefore, the value of x is 1.