document.write( "Question 1074462: Please help me this question
\n" ); document.write( "y=13-4x
\n" ); document.write( "3x+2y=16
\n" ); document.write( "What is substitution \n" ); document.write( "
Algebra.Com's Answer #689124 by addingup(3677)\"\" \"About 
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y = 13-4x this is the value of y. We will substitute in the next equation. First, set the next equation in the same format, subtract 3x from both sides:
\n" ); document.write( "3x+2y = 16
\n" ); document.write( "2y = 16-3x now in this equation substitute for y:
\n" ); document.write( "2(13-4x) = 16-3x Distribute the 2 over the terms inside parenthesis (Distributive Properties of multiplication):
\n" ); document.write( "26-8x = 16-3x Subtract 16 and add 8x on both sides:
\n" ); document.write( "26-16-8x+8x = 16-16-3x+8x
\n" ); document.write( "10 = 5x flip the equation, we want the variable on the left (it doesn't change anything):
\n" ); document.write( "5x = 10 divide both sides by 5
\n" ); document.write( "x = 2
\n" ); document.write( "Now solve for y:
\n" ); document.write( "y = 13-4x
\n" ); document.write( "y = 13-4(2)
\n" ); document.write( "y = 13-8
\n" ); document.write( "y = 5
\n" ); document.write( "------------------
\n" ); document.write( "Check:
\n" ); document.write( "3x+2y = 16
\n" ); document.write( "3(2)+2(5) = 16
\n" ); document.write( "6+10 = 16 Correct\r
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