document.write( "Question 295209: I am struggling with some of these problems please help\r
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\n" ); document.write( "\n" ); document.write( "Solve each system by substitution:\r
\n" ); document.write( "\n" ); document.write( "(b) y = 13x + 14
\n" ); document.write( " x = y - 1\r
\n" ); document.write( "\n" ); document.write( "John
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Algebra.Com's Answer #212776 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve each system by substitution:
\n" ); document.write( "(a) 5x + y = 10
\n" ); document.write( "3x – 3y = 6
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\n" ); document.write( "1st: Solve the 1st equation for \"y\":
\n" ); document.write( "y = 10-5x
\n" ); document.write( "2nd:
\n" ); document.write( "Substitute for \"y\" in the 2nd equation and solve for \"x\":
\n" ); document.write( "3x - 3(10-5x) = 6
\n" ); document.write( "3x -30+15x = 6
\n" ); document.write( "18x = 36
\n" ); document.write( "x = 2
\n" ); document.write( "----
\n" ); document.write( "3rd: Since y = 10-5x, solve for \"y\":
\n" ); document.write( "y = 10-5*2 = 0
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\n" ); document.write( "Solution: (2,0)
\n" ); document.write( "Check your answer in the two original equations.
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\n" ); document.write( "(b) y = 13x + 14
\n" ); document.write( "x = y - 1
\n" ); document.write( "----------------
\n" ); document.write( "1st: The 2nd equation is already solved for x,
\n" ); document.write( "so substitute for \"x\" in the 1st equation:
\n" ); document.write( "---
\n" ); document.write( "y = 13(y-1) + 14
\n" ); document.write( "y = 13y-13+14
\n" ); document.write( "y = 13y +1
\n" ); document.write( "12y = -1
\n" ); document.write( "y = -1/12
\n" ); document.write( "---
\n" ); document.write( "2nd: Since x = y-1
\n" ); document.write( "x = (-1/12)-1
\n" ); document.write( "x = -13/12
\n" ); document.write( "------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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