Complete the ordered pairs so that they are solutions of the given linear equation.
-y = -x + 7; (4, ), (7, ), (0, )
A)(4, 12)(7, 0)(0, 7)
B)(4, 4)(7, 7)(0, 0)
C)(4, 3)(7, 1)(0, 7)
D)(4, 3)(7, 0)(0, 7)

Question

Quizplus · Accepted Answer

Substituting the given x-values into the equation y = -x + 7, we get y-values of 3, 0, and 7 for the ordered pairs (4, 3), (7, 0), and (0, 7) respectively. Thus, only option D has all three ordered pairs as solutions of the given linear equation. To find the ordered pairs that are solutions of y = -x + 7, we substitute the given x-coordinate into the equation and solve for y.

For (4, ),

y = -x + 7 
y = -4 + 7 
y = 3

So, the ordered pair is (4, 3).

For (7, ),

y = -x + 7 
y = -7 + 7 
y = 0

So, the ordered pair is (7, 0).

For (0, ),

y = -x + 7 
y = -0 + 7 
y = 7

So, the ordered pair is (0, 7).

Therefore, the correct answer is D, which gives us the ordered pairs (4, 3), (7, 0), and (0, 7), all of which satisfy the equation y = -x + 7.

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