Question 176227
{{{y=4x-8}}} Start with the first equation.



{{{2x+10=4x-8}}} Plug in {{{y=2x+10}}} (which is the second equation). In other words, replace each "y" with {{{2x+10}}} to eliminate the y variable. 



{{{2x=4x-8-10}}} Subtract {{{10}}} from both sides.



{{{2x-4x=-8-10}}} Subtract {{{4x}}} from both sides.



{{{-2x=-8-10}}} Combine like terms on the left side.



{{{-2x=-18}}} Combine like terms on the right side.



{{{x=(-18)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=9}}} Reduce.


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{{{y=4x-8}}} Go back to the first equation.



{{{y=4(9)-8}}} Plug in {{{x=9}}}



{{{y=36-8}}} Multiply



{{{y=28}}} Subtract



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Answer:



So the solutions are {{{x=9}}} and {{{y=28}}} which form the ordered pair (9,28)



So the system is consistent and independent.