You can put this solution on YOUR website! solve the system algebraically. Find the number of solutions for the system
{2x-y=-2
{-6x+6y=6
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Rearrange and modify:
y = 2x +2
y = x + 1
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Substitute for "y" and solve for "x":
2x+2 = x+1
x = -1
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Solve for "y":
y = 2x +2
y = 2 + 2
y = 4
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Cheers,
Stan H.
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Multiply the first equation by 3, then add the two equations term-by-term. Solve the resulting single-variable equation in for . Once you have a value for , substitute that value for in either of the original equations and solve the resulting single-variable equation for . If at any point the result is a triviality, such as , then you have a dependent system (infinite solutions). If at any point the result is an absurdity, such as , then you have an inconsistent system (no solution). Otherwise, you have a consistent and independent system with a solution set consisting of a single ordered pair formed from the calculated values of and .
John
My calculator said it, I believe it, that settles it
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