SOLUTION: q=10-2p q=20+3p

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Question 213464: q=10-2p
q=20+3p
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
q=10-2p
q=20%2B3p

Set above equations to be equal q=q

10-2p=20%2B3p

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: p=-2.
  • Graphical form: Equation 10-2p=20%2B3p was fully solved.
  • Text form: 10-2p=20+3p simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+10-2p=20%2B3p+%29
    For tutors: simplify_cartoon( 10-2p=20+3p )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+10+%29-2%2Ap=20%2B3p.
Moved 10 to the right of expression
It becomes -2%2Ap%2Bhighlight_green%28+10+%29=20%2B3p.
Look at -2%2Ap%2B10=highlight_red%28+20+%29%2B3%2Ap.
Moved 20 to the right of expression
It becomes -2%2Ap%2B10=3%2Ap%2Bhighlight_green%28+20+%29.
Look at -2%2Ap%2B10=highlight_red%28+3%2Ap%2B20+%29.
Moved these terms to the left highlight_green%28+-3%2Ap+%29,highlight_green%28+-20+%29
It becomes -2%2Ap%2B10-highlight_green%28+3%2Ap+%29-highlight_green%28+20+%29=0.
Look at -2%2Ap%2Bhighlight_red%28+10+%29-3%2Ap-highlight_red%28+20+%29=0.
Added fractions or integers together
It becomes -2%2Ap%2Bhighlight_green%28+-10+%29-3%2Ap=0.
Look at -2%2Ap%2Bhighlight_red%28+-10+%29-3%2Ap=0.
Moved -10 to the right of expression
It becomes -2%2Ap-3%2Ap%2Bhighlight_green%28+-10+%29=0.
Look at -2%2Ap-3%2Ap%2Bhighlight_red%28+-10+%29=0.
Removed extra sign in front of -10
It becomes -2%2Ap-3%2Ap-highlight_green%28+10+%29=0.
Look at -highlight_red%28+2%2Ap+%29-highlight_red%28+3%2Ap+%29-10=0.
Eliminated similar terms highlight_red%28+-2%2Ap+%29,highlight_red%28+-3%2Ap+%29 replacing them with highlight_green%28+%28-2-3%29%2Ap+%29
It becomes highlight_green%28+%28-2-3%29%2Ap+%29-10=0.
Look at %28-highlight_red%28+2+%29-highlight_red%28+3+%29%29%2Ap-10=0.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2Ap-10=0.
Look at %28highlight_red%28+-5+%29%29%2Ap-10=0.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2Ap-10=0.
Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2Ap+%29-10=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2Ap-10=0.
Look at highlight_red%28+-5%2Ap-10+%29=0.
Solved linear equation highlight_red%28+-5%2Ap-10=0+%29 equivalent to -5*p-10 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: p=-2.

Universal Simplifier and Solver


Done!



With p=-2, then q=14=10-2(-2). ANSWER is p=-2 and q=14.


I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J