document.write( "Question 1188833: Company A’s revenue this fiscal year is $918,000 , but its revenue is decreasing by $18,000 each year. Company B’s revenue this fiscal year is $252,000 , and its revenue is increasing by $19,000 each year. Write and solve a system of equations to answer how many years after did Company B will catch up with Company A in revenue. \n" ); document.write( "

Algebra.Com's Answer #820014 by Shin123(626) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x be the number of years after this fiscal year. Then, we have the equation $\"cross%28s%29\"$
\n" ); document.write( " $\"918000-18000x=252000%2B19000x\"$
\n" ); document.write( "Solving, we get
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: x=18.
Graphical form: Equation $\"918000-18000x=252000%2B19000x\"$ was fully solved.
Text form: 918000-18000x=252000+19000x simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+918000-18000x=252000%2B19000x+%29\"$
For tutors: simplify_cartoon( 918000-18000x=252000+19000x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+918000+%29-18000%2Ax=252000%2B19000x\"$ .
Moved $\"918000\"$ to the right of expression
It becomes $\"-18000%2Ax%2Bhighlight_green%28+918000+%29=252000%2B19000x\"$ .
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Look at $\"-18000%2Ax%2B918000=highlight_red%28+252000+%29%2B19000%2Ax\"$ .
Moved $\"252000\"$ to the right of expression
It becomes $\"-18000%2Ax%2B918000=19000%2Ax%2Bhighlight_green%28+252000+%29\"$ .
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Look at $\"-18000%2Ax%2B918000=highlight_red%28+19000%2Ax%2B252000+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-19000%2Ax+%29\"$ , $\"highlight_green%28+-252000+%29\"$
It becomes $\"-18000%2Ax%2B918000-highlight_green%28+19000%2Ax+%29-highlight_green%28+252000+%29=0\"$ .
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Look at $\"-18000%2Ax%2Bhighlight_red%28+918000+%29-19000%2Ax-highlight_red%28+252000+%29=0\"$ .
Added fractions or integers together
It becomes $\"-18000%2Ax%2Bhighlight_green%28+666000+%29-19000%2Ax=0\"$ .
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Look at $\"-18000%2Ax%2Bhighlight_red%28+666000+%29-19000%2Ax=0\"$ .
Moved $\"666000\"$ to the right of expression
It becomes $\"-18000%2Ax-19000%2Ax%2Bhighlight_green%28+666000+%29=0\"$ .
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Look at $\"-highlight_red%28+18000%2Ax+%29-highlight_red%28+19000%2Ax+%29%2B666000=0\"$ .
Eliminated similar terms $\"highlight_red%28+-18000%2Ax+%29\"$ , $\"highlight_red%28+-19000%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-18000-19000%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-18000-19000%29%2Ax+%29%2B666000=0\"$ .
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Look at $\"%28-highlight_red%28+18000+%29-highlight_red%28+19000+%29%29%2Ax%2B666000=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-37000+%29%29%2Ax%2B666000=0\"$ .
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Look at $\"%28highlight_red%28+-37000+%29%29%2Ax%2B666000=0\"$ .
Removed extra sign in front of $\"-37000\"$
It becomes $\"%28-highlight_green%28+37000+%29%29%2Ax%2B666000=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+37000+%29%29%2Ax+%29%2B666000=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+37000+%29\"$
It becomes $\"-highlight_green%28+37000+%29%2Ax%2B666000=0\"$ .
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Look at $\"highlight_red%28+-37000%2Ax%2B666000+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-37000%2Ax%2B666000=0+%29\"$ equivalent to -37000*x+666000 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=18.

Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "Therefore, it will take $\"highlight%2818%29\"$ years for company B's revenue to catch up to company A's. \n" ); document.write( "

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