Complete the ordered pairs so that they are solutions of the given linear equation.
-3x + y = -22; (-8, ), (0, ), (1, )
A)(-8, -8)(0, -22)(1, -25)
B)(-8, 2)(0, -22)(1, -25)
C)(-8, 2)(0, -26)(1, -25)
D)(-8, 2)(0, 0)(1, -25)

Question

Quizplus · Accepted Answer

Plug in the given x and y values into the equation and see if they make a true statement. 
For (-8,2): 3(-8) + 2 = -24 + 2 = -22, which works.
For (0,-22): 3(0) - 22 = -22, which works.
For (1,-25): 3(1) - 25 = -22, which works. 
Thus, (B) is the correct answer as all three ordered pairs satisfy the linear equation. To find the missing y-coordinate of each ordered pair, we can substitute the given x-coordinate into the equation 3x + y = -22 and solve for y.

When x = -8: 
3(-8) + y = -22 
-24 + y = -22 
y = 2

So the ordered pair (-8, 2) is a solution.

When x = 0: 
3(0) + y = -22 
y = -22

So the ordered pair (0, -22) is a solution.

When x = 1: 
3(1) + y = -22 
3 + y = -22 
y = -25

So the ordered pair (1, -25) is a solution.

Thus, the only choice that has all three ordered pairs as solutions is B.

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