<PRE><B>Question 291011</B>
{{{4x-6y=16}}} Start with the given equation.



{{{4x-6(10-3x)=16}}} Plug in {{{y=10-3x}}}



{{{4x-60+18x=16}}} Distribute.



{{{22x-60=16}}} Combine like terms on the left side.



{{{22x=16+60}}} Add {{{60}}} to both sides.



{{{22x=76}}} Combine like terms on the right side.



{{{x=(76)/(22)}}} Divide both sides by {{{22}}} to isolate {{{x}}}.



{{{x=38/11}}} Reduce.



{{{y=10-3x}}} Go back to the first equation.



{{{y=10-3(38/11)}}} Plug in {{{x=38/11}}}



{{{y=10-114/11}}} Multiply



{{{y=-4/11}}} Combine like terms.



So the solutions are {{{x=38/11}}} and {{{y=-4/11}}} which form the ordered pair *[Tex \LARGE \left(\frac{38}{11},-\frac{4}{11}\right)]. Graphically, this means that the two equations intersect at the point *[Tex \LARGE \left(\frac{38}{11},-\frac{4}{11}\right)].</PRE>