Which of the ordered pairs (18, 8), (8, 18), (9, 4), or (4, 9) is a solution to the system of equations?
y = (3/4)x + 12
y = 3x - 6
(18, 8)
(8, 18)
(9, 4)
(4, 9)

Question

Which of the ordered pairs (18, 8), (8, 18), (9, 4), or (4, 9) is a solution to the system of equations? y = (3/4)x + 12 y = 3x - 6 (18, 8) (8, 18) (9, 4) (4, 9)

SnapAndSolve AI · Accepted Answer

To find the solution to the system of equations, we need to find the ordered pair that satisfies both equations:

For the first equation, y = (3/4)x + 12:
For the second equation, y = 3x - 6:

Let's test each ordered pair:

(18, 8):

First equation: 8 = (3/4)(18) + 12 = 13.5 + 12 = 25.5 (not satisfied)
Second equation: 8 = 3(18) - 6 = 54 - 6 = 48 (not satisfied)

(8, 18):

First equation: 18 = (3/4)(8) + 12 = 6 + 12 = 18 (satisfied)
Second equation: 18 = 3(8) - 6 = 24 - 6 = 18 (satisfied)

(9, 4):

First equation: 4 = (3/4)(9) + 12 = 6.75 + 12 = 18.75 (not satisfied)
Second equation: 4 = 3(9) - 6 = 27 - 6 = 21 (not satisfied)

(4, 9):

First equation: 9 = (3/4)(4) + 12 = 3 + 12 = 15 (not satisfied)
Second equation: 9 = 3(4) - 6 = 12 - 6 = 6 (not satisfied)

The ordered pair (8, 18) is the solution to the system of equations.

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Which of the ordered pairs (18, 8), (8, 18), (9, 4), or (4, 9) is a solution to the system of equations?

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