Complete the ordered pairs so that they are solutions of the given linear equation.
-x + y = 7 ( , 8), ( , 0), ( , 7)
A)(-1, -3), (7, 8), (0, 7)
B)(-1, -3), (7, 0), (0, 7)
C)(-1, 8), (0, 0), (0, 0)
D)(-1, 8), (7, 0), (0, 7)

Question

Quizplus · Accepted Answer

To make an ordered pair a solution of the equation x + y = 7, we need to find a value for x and a value for y that satisfy the equation when added together. 
For the first ordered pair, we know that x + y = 7 and y = 8. So, if we subtract y from both sides, we get x = -1. Therefore, the ordered pair is (-1, 8), which is an option in choice D. 
For the second ordered pair, we know that x + y = 7 and y = 0. So, if we again subtract y from both sides, we get x = 7. Therefore, the ordered pair is (7, 0), which is also an option in choice D. 
For the third ordered pair, we already know that x + y = 7 and y = 7. So, if we subtract y from both sides, we get x = 0. Therefore, the ordered pair is (0, 7), which is also an option in choice D. 
Therefore, the only choice that includes all three correct ordered pairs is D. For x + y = 7, we need to find the value of x and y that satisfy the equation. If we substitute 8 for y, we get x + 8 = 7, which gives x = -1. Similarly, if we substitute 0 for y, we get x + 0 = 7, which gives x = 7. Finally, if we substitute 7 for y, we get x + 7 = 7, which gives x = 0. Therefore, the ordered pairs are (-1, 8), (7, 0) and (0, 7), which are given in choice D.

Complete the Ordered Pairs So That They Are Solutions of the Given