Question

question 9
identify which of the given points are solutions to the following linear equations.
$3x - 4y = -12$
$(-12,-6)$
$(4,6)$
$(19,23)$
$(8,9)$
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Explanation:

Step1: Test point (-12,-6)

Substitute $x=-12, y=-6$ into $3x-4y=-12$:
$3(-12) - 4(-6) = -36 + 24 = -12$

Step2: Test point (4,6)

Substitute $x=4, y=6$ into $3x-4y=-12$:
$3(4) - 4(6) = 12 - 24 = -12$

Step3: Test point (19,23)

Substitute $x=19, y=23$ into $3x-4y=-12$:
$3(19) - 4(23) = 57 - 92 = -35
eq -12$

Step4: Test point (8,9)

Substitute $x=8, y=9$ into $3x-4y=-12$:
$3(8) - 4(9) = 24 - 36 = -12$

Answer:

(-12,-6), (4,6), (8,9)