SOLUTION: what does r equal in this equation : 8r+3=5r+12? also what does p equal in this equation : 9p-14=4p+11?

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Question 4364: what does r equal in this equation : 8r+3=5r+12?
also what does p equal in this equation : 9p-14=4p+11?
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: r=3.
  • Graphical form: Equation 8r%2B3=5r%2B12 was fully solved.
  • Text form: 8r+3=5r+12 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+8r%2B3=5r%2B12+%29
    For tutors: simplify_cartoon( 8r+3=5r+12 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 8%2Ar%2B3=highlight_red%28+5%2Ar%2B12+%29.
Moved these terms to the left highlight_green%28+-5%2Ar+%29,highlight_green%28+-12+%29
It becomes 8%2Ar%2B3-highlight_green%28+5%2Ar+%29-highlight_green%28+12+%29=0.
Look at 8%2Ar%2Bhighlight_red%28+3+%29-5%2Ar-highlight_red%28+12+%29=0.
Added fractions or integers together
It becomes 8%2Ar%2Bhighlight_green%28+-9+%29-5%2Ar=0.
Look at 8%2Ar%2Bhighlight_red%28+-9+%29-5%2Ar=0.
Moved -9 to the right of expression
It becomes 8%2Ar-5%2Ar%2Bhighlight_green%28+-9+%29=0.
Look at 8%2Ar-5%2Ar%2Bhighlight_red%28+-9+%29=0.
Removed extra sign in front of -9
It becomes 8%2Ar-5%2Ar-highlight_green%28+9+%29=0.
Look at highlight_red%28+8%2Ar+%29-highlight_red%28+5%2Ar+%29-9=0.
Eliminated similar terms highlight_red%28+8%2Ar+%29,highlight_red%28+-5%2Ar+%29 replacing them with highlight_green%28+%288-5%29%2Ar+%29
It becomes highlight_green%28+%288-5%29%2Ar+%29-9=0.
Look at %28highlight_red%28+8+%29-highlight_red%28+5+%29%29%2Ar-9=0.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ar-9=0.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ar+%29-9=0.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ar-9=0.
Look at highlight_red%28+3%2Ar-9+%29=0.
Solved linear equation highlight_red%28+3%2Ar-9=0+%29 equivalent to 3*r-9 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: r=3.

Universal Simplifier and Solver


Done!

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


YOUR ANSWER


  • This is an equation! Solutions: p=5.
  • Graphical form: Equation 9p-14=4p%2B11 was fully solved.
  • Text form: 9p-14=4p+11 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+9p-14=4p%2B11+%29
    For tutors: simplify_cartoon( 9p-14=4p+11 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 9%2Ap-14=highlight_red%28+4%2Ap%2B11+%29.
Moved these terms to the left highlight_green%28+-4%2Ap+%29,highlight_green%28+-11+%29
It becomes 9%2Ap-14-highlight_green%28+4%2Ap+%29-highlight_green%28+11+%29=0.
Look at 9%2Ap-highlight_red%28+14+%29-4%2Ap-highlight_red%28+11+%29=0.
Added fractions or integers together
It becomes 9%2Ap%2Bhighlight_green%28+-25+%29-4%2Ap=0.
Look at 9%2Ap%2Bhighlight_red%28+-25+%29-4%2Ap=0.
Moved -25 to the right of expression
It becomes 9%2Ap-4%2Ap%2Bhighlight_green%28+-25+%29=0.
Look at 9%2Ap-4%2Ap%2Bhighlight_red%28+-25+%29=0.
Removed extra sign in front of -25
It becomes 9%2Ap-4%2Ap-highlight_green%28+25+%29=0.
Look at highlight_red%28+9%2Ap+%29-highlight_red%28+4%2Ap+%29-25=0.
Eliminated similar terms highlight_red%28+9%2Ap+%29,highlight_red%28+-4%2Ap+%29 replacing them with highlight_green%28+%289-4%29%2Ap+%29
It becomes highlight_green%28+%289-4%29%2Ap+%29-25=0.
Look at %28highlight_red%28+9+%29-highlight_red%28+4+%29%29%2Ap-25=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ap-25=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ap+%29-25=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ap-25=0.
Look at highlight_red%28+5%2Ap-25+%29=0.
Solved linear equation highlight_red%28+5%2Ap-25=0+%29 equivalent to 5*p-25 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: p=5.

Universal Simplifier and Solver


Done!