document.write( "Question 627084: solve the system algebraically. Find the number of solutions for the system
\n" ); document.write( "{2x-y=-2
\n" ); document.write( "{-6x+6y=6
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Algebra.Com's Answer #394659 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "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

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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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