SOLUTION: 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 in

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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.
Found 2 solutions by Shin123, ikleyn:
Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!
Let x be the number of years after this fiscal year. Then, we have the equation

Solving, we get
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


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

DETAILED EXPLANATION

Look at .
Moved 918000 to the right of expression
It becomes .
Look at .
Moved 252000 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-19000%2Ax+%29,highlight_green%28+-252000+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 666000 to the right of expression
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -37000
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+37000+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-37000%2Ax%2B666000=0+%29 equivalent to -37000*x+666000 =0
It becomes .
Result:
This is an equation! Solutions: x=18.

Universal Simplifier and Solver


Done!

Therefore, it will take years for company B's revenue to catch up to company A's.
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

            Do not consider the post from @Shin123 as an attempt to teach . . .

            These are his exercises playing with the solver,  for his self-satisfaction.


The true solution is in several lines. 

The equation is, OBVIOUSLY


    918000 - 18000x = 252000 + 19000x


Simplify and find x


    19000x + 18000x = 918000 - 252000

         37000x     =     666000

              x     =     666000/37000 = 18 years.

Solved.



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