document.write( "Question 633493: Our integer is 6 less than another integer. The product of the lesser integer and -7 is 42 more than the greater integer. What are the integers? \n" ); document.write( "

Algebra.Com's Answer #398993 by MathLover1(20850) $\"\"$ $\"About$

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remember: An integer is a whole number (not a fraction) that can be positive, negative, or zero. \r
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\n" ); document.write( "\n" ); document.write( "let’s integers be $\"x\"$ and $\"y\"$ ......the lesser integer, our integer is $\"x\"$
\n" ); document.write( "and the greater integer is $\"y\"$
\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2B6=y\"$ ............1
\n" ); document.write( "if the product of the lesser integer $\"x\"$ and $\"-7+\"$ is $\"42\"$ more
\n" ); document.write( "than the greater integer $\"y\"$ , than we have\r
\n" ); document.write( "\n" ); document.write( " $\"x%28-7%29=y%2B42\"$ ........2\r
\n" ); document.write( "\n" ); document.write( "solve this system
\n" ); document.write( " $\"x%2B6=y\"$ ............1....substitute $\"y\"$ in 2
\n" ); document.write( " $\"x%28-7%29=y%2B42\"$ ........2
\n" ); document.write( "-----------------------------------
\n" ); document.write( " $\"x%28-7%29=%28x%2B6%29%2B42\"$ ........2.....solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-7x=x%2B6%2B42\"$
\n" ); document.write( " $\"-7x-x=48\"$
\n" ); document.write( " $\"-8x=48\"$
\n" ); document.write( " $\"x=48%2F%28-8%29\"$
\n" ); document.write( " $\"x=-6\"$ \r
\n" ); document.write( "\n" ); document.write( "now, find $\"y\"$
\n" ); document.write( " $\"x%2B6=y\"$ ............1..plug in $\"x=-6\"$
\n" ); document.write( " $\"-6%2B6=y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0=y\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the integers are: $\"x=-6\"$ and $\"y=0\"$ \n" ); document.write( "

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