document.write( "Question 845736: Can someone help me understand this please? \r
\n" ); document.write( "\n" ); document.write( "Solve each system by substitution. State the x-value of the solution.
\n" ); document.write( "x+4y=11
\n" ); document.write( "2x-5y=-4\r
\n" ); document.write( "\n" ); document.write( "A. -3 B. -2 C. 2 D. 3
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Algebra.Com's Answer #509457 by ankor@dixie-net.com(22740)\"\" \"About 
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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?
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