Question

Given the equations x + y = 20 and x - y = 8, which values of x and y

satisfy both equations?
x = 11 and y = 9
O x= 9 and y = 11
X = 14 and y = 6
O x = 6 and y = 14

Answer 1

x = 14 and y = 6

Explanation:

To find the solution to this problem, we plug in the values of x and y from each answer choice and simplify.

1.

• (11) + (9) = 20. 20 = 20.
• (11) - (9) = 20. 2 ≠ 8.

2.

• (9) + (11) = 20. 20 = 20
• (9) - (11) = 20. -2 ≠ 8.

3.

• (14) + (6) = 20. 20 = 20.
• (14) - (6) = 8. 8 = 8.

4.

• (6) + (14) = 20. 20 = 20
• (6) - (14) = 8. -8 ≠ 8.

Therefore, the correct answer is x = 14 and y = 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡