document.write( "Question 999542: solve each equations by the substitution method
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\n" ); document.write( "4x+3y=-22 \n" ); document.write( "

Algebra.Com's Answer #617152 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "solve each equations by the substitution method
\n" ); document.write( "3x+y=-14
\n" ); document.write( "4x+3y=-22
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document.write( "3x +  y = -14   (1)\r\n" );
document.write( "4x + 3y = -22   (2)\r\n" );
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document.write( "Express y from the first equation, y = -3x - 14, and substitute it into the second equation. You will get single equation for the unknown x:\r\n" );
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document.write( "4x + 3*(-3x - 14) = -22.\r\n" );
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document.write( "Simplify and solve it:\r\n" );
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document.write( "4x - 9x - 42 = -22,\r\n" );
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document.write( "-5x = -22 + 42,\r\n" );
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document.write( "-5x = 20,\r\n" );
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document.write( "x =  = -4.\r\n" );
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document.write( "Substitute it into the first equation (1). You will get the equation for y:\r\n" );
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document.write( " +  = .\r\n" );
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document.write( "It implies y =  +  = -2.\r\n" );
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document.write( "Check yourself this solution.\r\n" );
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document.write( "Answer. x = -4, y = -2.\r\n" );
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