For which system of equations is (5, 3) the solution?

A.

3x - 2y = 9

3x + 2y = 14

B.

x - y = - 2

4x - 3y = 11

C.

-2x - y = - 13

x + 2y = - 11

D.

2x - y = 7

2x + 7y = 31

Answer: D 2x - y = 7

2x + 7y = 31

Solution:

solve for each case and see both the equations have LHS = RHS using the coordinates (5,3)

d. 2x - y = 7

2x + 7y = 31

2 (5) - 3 = 7 >>> 10-3 = 7 >>> 7 = 7

2 (5) + 7 (3) = 31 >>> 10+21 = 31 >>> 31 = 31

For the other options use (5,3)

a. 3x - 2y = 9

3x + 2y = 14

15-6 = 9 >> 9=9

15+6 = 14 incorrect

b. x - y = - 2

4x - 3y = 11

5-3 = - 2 >> 2 = - 2

Incorrect

c. - 2x - y = - 13

x + 2y = - 11

-10-3 = - 13 >>> - 13 = - 13

5+6 = - 11 >>> 11 = - 11 incorrect