SOLUTION: Im getting frustrated with this and everything I have looked up isn't being helpful. Find the missing coordinate to complete the ordered-pair solution to the given linear equati

Question 865303: Im getting frustrated with this and everything I have looked up isn't being helpful.
Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
4x − 3y = −12
(3, )
( ,-8)
( ,10)
Please help me understand how to do this.
Thanks
Mike
Found 2 solutions by Alan3354, ben720:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
4x − 3y = −12
(3, )
( ,-8)
( ,10)
-----------
For (3, )
4x − 3y = −12
4*3 - 3y = -12
12 - 3y = -12
-3y = -24
y = 8
(3,8)
=============================
For ( ,-8)
4x − 3y = −12
4x -3*-8 = -12
4x + 24 = -12
4x = -36
x = -9
(-9,-8)
----------
You do the last one.
Answer by ben720(159) (Show Source): You can put this solution on YOUR website!
For the coordinate (3, something) the three is the x value. Because in the equation x is the value of the coordinate, when you substitute in the value for x, when you solve for y, it will give you the y value.

Subtract 12 from both sides

Divide both sides by -3

(3, 8)

For the next, ( ,-8), -8 is the y value

Subtract 24 from both sides

Divide both sides by 4

(-9, -8)

For the next coordinate, ( ,10), 10 is the y value

Add 30 to both sides

Divide both sides by 4

The three coordinates are (3, 8), (-9, -8), and (9/2, 10)
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