document.write( "Question 1102767: A first number plus twice a second number is 8. Twice the first number plus the second total 35. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #717487 by rothauserc(4718) $\"\"$ $\"About$

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1) x + y = 8
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\n" ); document.write( "2) 2x + y = 35
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\n" ); document.write( "solve equation 2 for y
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\n" ); document.write( "y = 35 - 2x
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\n" ); document.write( "substitute for y in equation 1
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\n" ); document.write( "x + 35 - 2x = 8
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\n" ); document.write( "-x = -27
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\n" ); document.write( "x = 27
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\n" ); document.write( "using equation 1, substitute for x
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\n" ); document.write( "2(27) + y = 35
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\n" ); document.write( "y = 35 - 54 = -19
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\n" ); document.write( "x = 27 and y = -19
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\n" ); document.write( "substitute for x and y in equations 1 and 2
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\n" ); document.write( "1) x + y = 8
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\n" ); document.write( "27 + (-19) = 8
\n" ); document.write( "8 = 8
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\n" ); document.write( "2) 2x + y = 35
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\n" ); document.write( "2(27) + (-19) = 35
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\n" ); document.write( "54 - 19 = 35
\n" ); document.write( "35 = 35
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\n" ); document.write( "the answers check
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