Question 200626
{{{y=-3x+7}}} Start with the first equation.



{{{4x-7=-3x+7}}} Plug in {{{y=4x-7}}}



{{{4x=-3x+7+7}}} Add {{{7}}} to both sides.



{{{4x+3x=7+7}}} Add {{{3x}}} to both sides.



{{{7x=7+7}}} Combine like terms on the left side.



{{{7x=14}}} Combine like terms on the right side.



{{{x=(14)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



{{{y=-3x+7}}} Go back to the first equation



{{{y=-3(2)+7}}} Plug in {{{x=2}}}



{{{y=-6+7}}} Multiply



{{{y=1}}} Add
 


So the solutions are {{{x=2}}} and {{{y=1}}} which form the ordered pair (2,1).



So the system is consistent and independent.