Question 210564
Write a system of linear equations in two variables having {{{"(x,y)"="(-2,7)"}}} as a solution set. (More than one system is possible.) Make sure that your system has two equations with two variables!
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Make up any 2 numbers for the coefficients of x and y for the first
equation, say {{{-3}}} and {{{5}}}, so write {{{-3x+5y=""}}}

Make up any 2 numbers for the coefficients of x and y in the second
equation, say {{{7}}} and {{{-2}}}, so write {{{7x-2y=""}}}

So we have the system with left sides only:

{{{system(-3x+5y="",7x-2y="")}}}

Now we just substitute {{{-2}}} for {{{x}}} and {{{7}}} for {{{y}}}
in each:

{{{-3x+5y=-3(-2)+5(7)=6+35=41}}}

So the first equation will be {{{-3x+5y=41}}} 

{{{7x-2y=7(-2)-2(7)=-14-14=-28}}}

So the second equation will be {{{7x-2y=-28}}} 

So the final system is:

{{{system(-3x+5y=41,7x-2y=-28)}}}

Edwin</pre>