Question

Line M is represented by the following equation: x − y = 8

Which equation completes the system that is satisfied by the solution (18, 10)? (4 points)

a
2x − y = 26

b
x + y = 18

c
2x − 2y = 36

d
x − y = −28

Answer 1

A

Explanation:

2(18) - (10) = 26

36 - 10 = 26

Answer 2

Answer:Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.

A) 2x - y = 26

2(18) - 10 = 26

36 - 10 = 26

26 = 26

Your answer is A.

I'll just do the rest to show that you the they are incorrect.

B) x + y = 18

18 + 10 = 18

28 ≠ 18

C) 2x - 2y = 36

2(18) - 2(10) = 36

36 - 20 = 36

16 ≠ 36

D) x - y = -28

18 - 10 = -28

8 ≠ -28

Your answer is A) 2x - y = 26.

Explanation: