Answer: D > > 2x + 3y = 10
4x + 5y = 18
Solution: using the coordinates given (2 , 2) in each equation
2x + 3y = 10 ------ (1)
4x + 5y = 18 ------(2)
2(2) + 3 (2) = 10 ------ (1)
4+ 6 = 10
10 = 10
4(2) + 5 (2) = 18 ------(2)
8 + 10 = 18
18 = 18
So for both the equations the LHS is equal to the RHS.
For other options if you put in the coordinates it will not be the same lets see:
a. –3x + 3y = 0 ----- (1)
x + 6y = 10 ----- (2)
-6+6 = 0 ----- (1)
0 = 0
2 + 12 = 10 ----- (2)
Incorrect
b. –2x + 5y = –6 ----- (1)
4x – 2y = 4 ----- (2)
-4 + 10 = -6 ----- (1)
6 = -6 incorrect
c. 5x – 2y = –6 ----- (1)
3x – 4y = 2 ----- (2)
10 - 4 = -6
6 = -6 incorrect
