document.write( "Question 845736: Can someone help me understand this please? \r
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document.write( "Solve each system by substitution. State the x-value of the solution.
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document.write( "x+4y=11
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document.write( "2x-5y=-4\r
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document.write( "A. -3 B. -2 C. 2 D. 3 \n" );
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Algebra.Com's Answer #509457 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve each system by substitution. State the x-value of the solution. \n" ); document.write( "x + 4y = 11 \n" ); document.write( "2x- 5y = -4 \n" ); document.write( ": \n" ); document.write( "We will use the 1st equation for substitution in the 2nd equation \n" ); document.write( "x + 4y = 11 \n" ); document.write( "subtract 4y from both sides \n" ); document.write( "x = -4y+11 \n" ); document.write( ": \n" ); document.write( "2x - 5y = -4 \n" ); document.write( "substitute (-4y+11) for x in the 2nd equation \n" ); document.write( "2(-4y+11) - 5y = -4 \n" ); document.write( "-8y + 22 - 5y = -4 \n" ); document.write( "-8y - 5y = -4 - 22 \n" ); document.write( "-13y = -26 \n" ); document.write( "y has to be positive, multiply both sides by -1 \n" ); document.write( "13y = 26 \n" ); document.write( "y = 26/13 \n" ); document.write( "y = 2 \n" ); document.write( ": \n" ); document.write( "They want the value of x; use the equation: x - -4y+ 11, replace y with 2 \n" ); document.write( "x = -4(2) + 11 \n" ); document.write( "x = -8 + 11 \n" ); document.write( "x = 3 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can check these solutions in the original equations \n" ); document.write( "Are you understanding this better now? \n" ); document.write( " |