SOLUTION: Explain how you find ordered-pair solutions of the equation 3x - 5y= 15. then find two solutions.

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Question 1069868: Explain how you find ordered-pair solutions of the equation 3x - 5y= 15. then find two solutions.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
First, I solve the equation for y: y = %2815-3x%29%2F%28-5%29,  or,  which is the same, y = %283x-15%29%2F5.


Then I assign any (arbitrary) value for x. For example, let x = 0.


Next, I calculate the corresponding value of y: y = -15%2F5 = -3.

It gives the first ordered-pair solution: (x,y) = (0,-5).



Now, let x = 5 is next arbitrary number. Then

y = %2815+-+3%2A5%29%2F5 = 0.


Thus the pair (x,y) = (5,0) is the second ordered-pair solution.


In this way, you can create INFINITELY MANY ordered-pair solutions.