Question 92963


{{{y=5x}}} Start with the given equation



Let's test the first solution (0,0):



{{{(0)=5(0)}}} Plug in {{{x=0}}} and  {{{y=0}}}



{{{0=0}}} Simplify. Since the two sides of the equation are equal, this means (0,0) is a solution to {{{y=5x}}}




-------Now lets test another solution-------




Let's test the second solution (-2,10):



{{{(10)=5(-2)}}} Plug in {{{x=-2}}} and  {{{y=10}}}



{{{10=-10}}} Simplify. Since the two sides of the equation are <font size=4><b>not</b></font> equal, this means (-2,10) is <font size=4><b>not</b></font> a solution to {{{y=5x}}}




-------Now lets test another solution-------




Let's test the third solution (-1,-5):



{{{(-5)=5(-1)}}} Plug in {{{x=-1}}} and  {{{y=-5}}}



{{{-5=-5}}} Simplify. Since the two sides of the equation are equal, this means (-1,-5) is a solution to {{{y=5x}}}




-------Now lets test another solution-------




Let's test the fourth solution (-3,9):



{{{(9)=5(-3)}}} Plug in {{{x=-3}}} and  {{{y=9}}}



{{{9=-15}}} Simplify. Since the two sides of the equation are <font size=4><b>not</b></font> equal, this means (-3,9) is <font size=4><b>not</b></font> a solution to {{{y=5x}}}



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Answer:

So the following ordered pairs are solutions to {{{y=5x}}}


(0,0) and  (-1,-5)