<PRE><B>Question 153208</B>
{{{y= (1/3)x - 3}}} Start with the first equation.



{{{ -2x + 4= (1/3)x - 3}}} Plug in {{{y= -2x + 4}}}



{{{3(-2x+4)=3((1/cross(3))x-3)}}} Multiply both sides by the LCD {{{3}}} to clear any fractions.



{{{-6x+12=x-9}}} Distribute and multiply.



{{{-6x=x-9-12}}} Subtract {{{12}}} from both sides.



{{{-6x-x=-9-12}}} Subtract {{{x}}} from both sides.



{{{-7x=-9-12}}} Combine like terms on the left side.



{{{-7x=-21}}} Combine like terms on the right side.



{{{x=(-21)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}.



{{{x=3}}} Reduce. This is the first part of our answer.



{{{y= -2x + 4}}} Move onto the second equation



{{{y= -2(3) + 4}}} Plug in x=3



{{{y= -2}}} Simplify. This is the second part of our answer.



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Answer:


So the solutions are {{{x=3}}} and {{{y= -2}}} which form the ordered pair (3,-2)
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