Question 148529


Let's see if (0,59) is a solution.



{{{y= -x -59}}} Start with the given equation.



{{{(59)= -(0) -59}}} Plug in {{{x=0}}} and {{{y=59}}}.



{{{59= -(0) -59}}} Evaluate and simplify the left side.



{{{59=-59}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (0,59) is not a solution.


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Let's see if (11,44) is a solution.



{{{y= -x -59}}} Start with the given equation.



{{{(44)= -(11) -59}}} Plug in {{{x=11}}} and {{{y=44}}}.



{{{44= -(11) -59}}} Evaluate and simplify the left side.



{{{44=-70}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (11,44) is not a solution.






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Let's see if (60,0) is a solution.



{{{y= -x -59}}} Start with the given equation.



{{{(0)= -(60) -59}}} Plug in {{{x=60}}} and {{{y=0}}}.



{{{0= -(60) -59}}} Evaluate and simplify the left side.



{{{0=-119}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (60,0) is not a solution.




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Let's see if (13,50) is a solution.



{{{y= -x -59}}} Start with the given equation.



{{{(50)= -(13) -59}}} Plug in {{{x=13}}} and {{{y=50}}}.



{{{50= -(13) -59}}} Evaluate and simplify the left side.



{{{50=-72}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (13,50) is not a solution.



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Let's see if (0,-59) is a solution.



{{{y= -x -59}}} Start with the given equation.



{{{(-59)= -(0) -59}}} Plug in {{{x=0}}} and {{{y=-59}}}.



{{{-59= -(0) -59}}} Evaluate and simplify the left side.



{{{-59=-59}}} Evaluate and simplify the right side.



Since the equation is <b>true</b>, this means that (0,-59) is a solution.




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Let's see if (8,51) is a solution.



{{{y= -x -59}}} Start with the given equation.



{{{(51)= -(8) -59}}} Plug in {{{x=8}}} and {{{y=51}}}.



{{{51= -(8) -59}}} Evaluate and simplify the left side.



{{{51=-67}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (8,51) is not a solution.



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Summary:


So the only solution is (0,-59)