Question 207663
{{{-3y+x=7}}} Start with the first equation.



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



{{{5x+6y=14}}} Move onto the second equation



{{{5(3y+7)+6y=14}}} Plug in {{{x=3y+7}}} 



{{{15y+35+6y=14}}} Distribute.



{{{21y+35=14}}} Combine like terms on the left side.



{{{21y=14-35}}} Subtract {{{35}}} from both sides.



{{{21y=-21}}} Combine like terms on the right side.



{{{y=(-21)/(21)}}} Divide both sides by {{{21}}} to isolate {{{y}}}.



{{{y=-1}}} Reduce.



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



{{{x=3(-1)+7}}} Plug in {{{y=-1}}}



{{{x=-3+7}}} Multiply.



{{{x=4}}} Combine like terms.



So the solutions are {{{x=4}}} and {{{y=-1}}} which form the ordered pair (4,-1)



This means that the system is consistent and independent.