document.write( "Question 171301: 2x-3y=-14
\n" ); document.write( "y=4x+8\r
\n" ); document.write( "\n" ); document.write( "solve this system of equations by substitution \n" ); document.write( "
Algebra.Com's Answer #126451 by gonzo(654)\"\" \"About 
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2x - 3y = -14
\n" ); document.write( "y = 4x + 8
\n" ); document.write( "-----
\n" ); document.write( "since y = 4x + 8 in your second equation, you want to substitute 4x + 8 for y in your first equation.
\n" ); document.write( "-----
\n" ); document.write( "that equation is:
\n" ); document.write( "2x - 3y = -14
\n" ); document.write( "substituting 4x + 8 for y, it becomes:
\n" ); document.write( "2x - 3(4x + 8) = -14
\n" ); document.write( "simplify by removing parentheses:
\n" ); document.write( "2x - 12x - 24 = -14
\n" ); document.write( "add 24 to both sides of equation:
\n" ); document.write( "2x - 12x = 24 - 14
\n" ); document.write( "simplify:
\n" ); document.write( "-10x = 10
\n" ); document.write( "divide both sides by 10:
\n" ); document.write( "-x = 1
\n" ); document.write( "multiply both sides by -1
\n" ); document.write( "x = -1
\n" ); document.write( "-----
\n" ); document.write( "take your second equation and solve for y now that you know that x = -1:
\n" ); document.write( "y = 4x + 8
\n" ); document.write( "y = 4*(-1) + 8
\n" ); document.write( "y = -4 + 8
\n" ); document.write( "y = 4
\n" ); document.write( "-----
\n" ); document.write( "take your first equation and substitute -1 for x and 4 for y:
\n" ); document.write( "2x - 3y = -14
\n" ); document.write( "2*(-1) - 3*(4) = -14
\n" ); document.write( "-2 -12 = -14
\n" ); document.write( "-14 = -14
\n" ); document.write( "-----
\n" ); document.write( "values for x and y are good.
\n" ); document.write( "x = -1
\n" ); document.write( "y = 4
\n" ); document.write( "-----\r
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