Question

For which system of equations is (2, 2) a solution?

Answer 1

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