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Question 69530: Hi,
I need to find 3 solution for 6x-3/2y-12=12
Thanks
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Given:
Let's begin by simplifying the equation. Let's multiply everything by 2 to get rid of the denominator in the y-term.
Now add 24 to both sides to move the -24 to the right side of the equal sign.
Now all you have to do is to assume a value for x and find a corresponding value for y. For example, let's assume x = 1. The equation becomes:
and this becomes:
Subtract 12 from both sides to get:
and by dividing both sides by -3 you find that y = -12
In the Cartesian point form (x,y) this means that (1, -12) is an answer.
You can find other answers using the same process as above. For example, if you assume x = 2 and substitute that into the equation, you should find that y = -8 so that (2, -8) is another solution. And if you assume x = 4, you should find that y must = 0 so that (4, 0) is another solution.
Another way to look at this is graphically. Return to the equation:
First set x = 0 and the result will be y = 48/-3 = -16. Plot the point (0, -16) on the graph. Then let y = 0 and the result will be x = 48/12 = 4. Plot the point (4, 0) on the graph. Draw a line through those two points and extend the line in both directions. Any Cartesian point on that line will give you a set of x and y values that satisfies the equation. There are any number (an infinite amount) of values that will answer the problem.
Hope this helps you understand the problem a little better.
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