Question 124928


{{{x+5*y=3}}} Start with the given equation



Let's test the first solution (-12,3):



{{{(-12)+5*(3)=3}}} Plug in {{{x=-12}}} and  {{{y=3}}}



{{{3=3}}} Simplify. Since the two sides of the equation are equal, this means (-12,3) is a solution to {{{x+5*y=3}}}




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




Let's test the second solution (3,0):



{{{(3)+5*(0)=3}}} Plug in {{{x=3}}} and  {{{y=0}}}



{{{3=3}}} Simplify. Since the two sides of the equation are equal, this means (3,0) is a solution to {{{x+5*y=3}}}




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




Let's test the third solution (-12,-3):



{{{(-12)+5*(-3)=3}}} Plug in {{{x=-12}}} and  {{{y=-3}}}



{{{-27=3}}} Simplify. Since the two sides of the equation are <font size=4><b>not</b></font> equal, this means (-12,-3) is <font size=4><b>not</b></font> a solution to {{{x+5*y=3}}}




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




Let's test the fourth solution (-22,5):



{{{(-22)+5*(5)=3}}} Plug in {{{x=-22}}} and  {{{y=5}}}



{{{3=3}}} Simplify. Since the two sides of the equation are equal, this means (-22,5) is a solution to {{{x+5*y=3}}}



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Answer:

So the following ordered pairs are solutions to {{{x+5*y=3}}}


(-12,3), (3,0), and (-22,5)