Question 148522

Let's see if (13,17) is a solution.


{{{y= -x +34}}} Start with the given equation.



{{{(17)= -(13) +34}}} Plug in {{{x=13}}} and {{{y=17}}}.



{{{17= -(13) +34}}} Evaluate and simplify the left side.



{{{17=21}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (13,17) is not a solution.


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Let's see if (15,23) is a solution.


{{{y= -x +34}}} Start with the given equation.



{{{(23)= -(15) +34}}} Plug in {{{x=15}}} and {{{y=23}}}.



{{{23= -(15) +34}}} Evaluate and simplify the left side.



{{{23=19}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (15,23) is not a solution.


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Let's see if (10,24) is a solution.


{{{y= -x +34}}} Start with the given equation.



{{{(24)= -(10) +34}}} Plug in {{{x=10}}} and {{{y=24}}}.



{{{24= -(10) +34}}} Evaluate and simplify the left side.



{{{24=24}}} Evaluate and simplify the right side.



Since the equation is <b>true</b>, this means that (10,24) is a solution.


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Let's see if (0,34) is a solution.


{{{y= -x +34}}} Start with the given equation.



{{{(34)= -(0) +34}}} Plug in {{{x=0}}} and {{{y=34}}}.



{{{34= -(0) +34}}} Evaluate and simplify the left side.



{{{34=34}}} Evaluate and simplify the right side.



Since the equation is <b>true</b>, this means that (0,34) is a solution.


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Let's see if (35,0) is a solution.


{{{y= -x +34}}} Start with the given equation.



{{{(0)= -(35) +34}}} Plug in {{{x=35}}} and {{{y=0}}}.



{{{0= -(35) +34}}} Evaluate and simplify the left side.



{{{0=-1}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (35,0) is not a solution.


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Let's see if (0,-34) is a solution.


{{{y= -x +34}}} Start with the given equation.



{{{(-34)= -(0) +34}}} Plug in {{{x=0}}} and {{{y=-34}}}.



{{{-34= -(0) +34}}} Evaluate and simplify the left side.



{{{-34=34}}} Evaluate and simplify the right side.



Since the equation is <b>not</b> true, this means that (0,-34) is not a solution.



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Summary:


So the solutions are  (0,34) and (10,24)