Question

IM lazy (: I GET it but I need help a little

Answer 1

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.