Answer:
a. YES
b. NO
c. NO
Explanation:
To check if (x, y) is a solution to the equation, simply substitute the point on the given equation to see if the equations are satisfied.
a. (4, 6)
y = x + 2; y = 10 - x
x = 4; y = 6
6 = 4 + 2; 6 = 10 - 4 = 6
LHS = RHS
So, (4, 6) is indeed a solution to the equation.
b. (6, 6)
x + y = 12; 2x = 10
Here, x =6; y = 6
But from 2x = 10, we get x = 5.
Clearly (6, 6) is not a solution.
c. (0, 8)
2x = 16; x - y = 8
Here, x = 0, y = 8
From 2x = 16, we get x = 8.
So, x cannot be 0. So, (0, 8) is not a solution.