SOLUTION: Okay - today I am stuck with linear equations.... I have solved the equation, but something is not right becasue when I go to substitute into the equation, it does not equal.... Pl

Algebra ->  Linear-equations -> SOLUTION: Okay - today I am stuck with linear equations.... I have solved the equation, but something is not right becasue when I go to substitute into the equation, it does not equal.... Pl      Log On


   

Question 5795: Okay - today I am stuck with linear equations.... I have solved the equation, but something is not right becasue when I go to substitute into the equation, it does not equal.... Please help!! Thanks!
Here's the first:
-5z-3-4(z+1)=2z+6
I solved it and came up with -13/11. This however does not check.
and number two:
-3[-6p+4-5(p-1)=-2p-5
I solved this and came up with -8/35. Again, this will not check.
Finally number three:
2p=5(2p+5)
I solved this and came up with -8/25. And you guessed it, this did not check.
HELP!!! I believe I solved them correctly, but why are they not checking???

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: z=-1.18181818181818.
  • Graphical form: Equation -5z-3-4%2A%28z%2B1%29=2z%2B6 was fully solved.
  • Text form: -5z-3-4*(z+1)=2z+6 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-5z-3-4%2A%28z%2B1%29=2z%2B6+%29
    For tutors: simplify_cartoon( -5z-3-4*(z+1)=2z+6 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -5%2Az-highlight_red%28+3+%29-4%2A%28z%2B1%29=2z%2B6.
Moved -3 to the right of expression
It becomes -5%2Az-4%2A%28z%2B1%29-highlight_green%28+3+%29=2z%2B6.
Look at -5%2Az-4%2A%28z%2B1%29-3=highlight_red%28+2%2Az%2B6+%29.
Moved these terms to the left highlight_green%28+-2%2Az+%29,highlight_green%28+-6+%29
It becomes -5%2Az-4%2A%28z%2B1%29-3-highlight_green%28+2%2Az+%29-highlight_green%28+6+%29=0.
Look at -5%2Az-4%2A%28z%2B1%29-highlight_red%28+3+%29-2%2Az-highlight_red%28+6+%29=0.
Added fractions or integers together
It becomes -5%2Az-4%2A%28z%2B1%29%2Bhighlight_green%28+-9+%29-2%2Az=0.
Look at -5%2Az-4%2A%28z%2B1%29%2Bhighlight_red%28+-9+%29-2%2Az=0.
Moved -9 to the right of expression
It becomes -5%2Az-4%2A%28z%2B1%29-2%2Az%2Bhighlight_green%28+-9+%29=0.
Look at -5%2Az-4%2A%28z%2B1%29-2%2Az%2Bhighlight_red%28+-9+%29=0.
Removed extra sign in front of -9
It becomes -5%2Az-4%2A%28z%2B1%29-2%2Az-highlight_green%28+9+%29=0.
Look at -highlight_red%28+5%2Az+%29-4%2A%28z%2B1%29-highlight_red%28+2%2Az+%29-9=0.
Eliminated similar terms highlight_red%28+-5%2Az+%29,highlight_red%28+-2%2Az+%29 replacing them with highlight_green%28+%28-5-2%29%2Az+%29
It becomes highlight_green%28+%28-5-2%29%2Az+%29-4%2A%28z%2B1%29-9=0.
Look at %28-highlight_red%28+5+%29-highlight_red%28+2+%29%29%2Az-4%2A%28z%2B1%29-9=0.
Added fractions or integers together
It becomes %28highlight_green%28+-7+%29%29%2Az-4%2A%28z%2B1%29-9=0.
Look at %28highlight_red%28+-7+%29%29%2Az-4%2A%28z%2B1%29-9=0.
Removed extra sign in front of -7
It becomes %28-highlight_green%28+7+%29%29%2Az-4%2A%28z%2B1%29-9=0.
Look at highlight_red%28+%28-highlight_red%28+7+%29%29%2Az+%29-4%2A%28z%2B1%29-9=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes -highlight_green%28+7+%29%2Az-4%2A%28z%2B1%29-9=0.
Look at -7%2Az-highlight_red%28+4%2A%28z%2B1%29+%29-9=0.
Expanded term -4 by using associative property on %28z%2B1%29
It becomes -7%2Az-highlight_green%28+4%2Az+%29-highlight_green%28+4%2A1+%29-9=0.
Look at -7%2Az-4%2Az-highlight_red%28+4+%29%2Ahighlight_red%28+1+%29-9=0.
Multiplied numerator integers
It becomes -7%2Az-4%2Az-highlight_green%28+4+%29-9=0.
Look at -7%2Az-4%2Az-highlight_red%28+4+%29-highlight_red%28+9+%29=0.
Added fractions or integers together
It becomes -7%2Az-4%2Az%2Bhighlight_green%28+-13+%29=0.
Look at -7%2Az-4%2Az%2Bhighlight_red%28+-13+%29=0.
Removed extra sign in front of -13
It becomes -7%2Az-4%2Az-highlight_green%28+13+%29=0.
Look at -highlight_red%28+7%2Az+%29-highlight_red%28+4%2Az+%29-13=0.
Eliminated similar terms highlight_red%28+-7%2Az+%29,highlight_red%28+-4%2Az+%29 replacing them with highlight_green%28+%28-7-4%29%2Az+%29
It becomes highlight_green%28+%28-7-4%29%2Az+%29-13=0.
Look at %28-highlight_red%28+7+%29-highlight_red%28+4+%29%29%2Az-13=0.
Added fractions or integers together
It becomes %28highlight_green%28+-11+%29%29%2Az-13=0.
Look at %28highlight_red%28+-11+%29%29%2Az-13=0.
Removed extra sign in front of -11
It becomes %28-highlight_green%28+11+%29%29%2Az-13=0.
Look at highlight_red%28+%28-highlight_red%28+11+%29%29%2Az+%29-13=0.
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes -highlight_green%28+11+%29%2Az-13=0.
Look at highlight_red%28+-11%2Az-13+%29=0.
Solved linear equation highlight_red%28+-11%2Az-13=0+%29 equivalent to -11*z-13 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: z=-1.18181818181818.

Universal Simplifier and Solver


Done!


as you can see, the solution is +13/11.
Your second equation has a '[' in it that does not close, so I cannot guess what you meant.