document.write( "Question 808612: The value of a polynomial ax+by is 7 when x=3 and y=2, and is -3 when x=1 and y=2. Find a and b. \n" ); document.write( "

Algebra.Com's Answer #487441 by TimothyLamb(4379) $\"\"$ $\"About$

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3a + 2b = 7
\n" ); document.write( "a + 2b = -3
\n" ); document.write( "a = -3 - 2b
\n" ); document.write( "---
\n" ); document.write( "3a + 2b = 7
\n" ); document.write( "3(-3 - 2b) + 2b = 7
\n" ); document.write( "-9 - 6b + 2b = 7
\n" ); document.write( "-16 = 4b
\n" ); document.write( "Answer:
\n" ); document.write( "b = -4
\n" ); document.write( "a = 5
\n" ); document.write( "---
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