Question 325285
{{{-3x-3y=3}}} Start with the first equation.



{{{-3x-3(-5x-7)=3}}}  Plug in {{{y=-5x-7}}} into the first equation. In other words, replace each {{{y}}} with {{{-5x-7}}}. Notice we've eliminated the {{{y}}} variables. So we now have a simple equation with one unknown.



{{{-3x+15x+21=3}}} Distribute



{{{12x+21=3}}} Combine like terms on the left side



{{{12x=3-21}}}Subtract 21 from both sides



{{{12x=-18}}} Combine like terms on the right side



{{{x=(-18)/(12)}}} Divide both sides by 12 to isolate x




{{{x=-3/2}}} Reduce




Now that we know that {{{x=-3/2}}}, we can plug this into {{{y=-5x-7}}} to find {{{y}}}



{{{y=-5(-3/2)-7}}} Substitute {{{-3/2}}} for each {{{x}}}



{{{y=15/2-7}}} Multiply -5 and {{{-3/2}}} to get {{{15/2}}}



{{{y=1/2}}} Subtract



So the solutions are {{{x=-3/2}}} and {{{y=1/2}}} which form the ordered pair *[Tex \LARGE \left(-\frac{3}{2},\frac{1}{2}\right)]