You can
put this solution on YOUR website!5x+2y=30
x-4y=17
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The system is "dependent" if one equation is a multiple of the other.
The system is "inconsistent" if when you assume there is a solution you
run into a contrdiction like 3=0.
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To "solve" your system by substitution, solve the 2nd equation for "x":
x=4y+17
Substitute that into the 1st equation:
5(4y+17)+2y=30
20y+85+2y=30
22y=-55
y=-5/2
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Substitute that into x=4y+17 to solve for x:
x=4(-5/2)+17
x=7
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We assumed there was a solution and found out there is.
The solution is (7,-5/2)
Therefore the system is said to be consistent.
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Cheers,
Stan H.
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