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(2,?) is on the line 4x - 5y = -12. Find the other half of the coordinate.

User Jonck
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2 Answers

4 votes
The x coordinate is 2. The y coordinate is unknown.

If we substitute 2 for x in the equation, it will look as follows:

4 (2)-5y=-12

Then we simply have to work it out:

8-5y=-12 \\ -5y=-20 \\ 5y=20 \\ y= (20)/(5) \\ y=4

So, the second coordinate is 4.
User Redge
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7.7k points
3 votes

Answer: y=4.

Step-by-step explanation: To find a missing half of a coordinate of a point that belongs to a line, we just have to substitute the known coordinate in the equation of the line, and isolate the variable we are looking for. So in the given problem, we just substitute "x=2" and then isolate "y":

4(2)-5y=-12

8-5y=-12

-5y=-12-8

-5y=-20

y=-20/-5

y=4.

So the coordinate would be (2, 4).

User Kalten
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7.2k points