SOLUTION: How do you solve the equation 9z+z-3=17

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Question 38483This question is from textbook Mathematics Concepts and Skills
: How do you solve the equation 9z+z-3=17 This question is from textbook Mathematics Concepts and Skills

Answer by Alwayscheerful(414) 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=2.
  • Graphical form: Equation 9z%2Bz-3=17 was fully solved.
  • Text form: 9z+z-3=17 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+9z%2Bz-3=17+%29
    For tutors: simplify_cartoon( 9z+z-3=17 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+9%2Az+%29%2Bhighlight_red%28+z+%29-3=17.
Eliminated similar terms highlight_red%28+9%2Az+%29,highlight_red%28+z+%29 replacing them with highlight_green%28+%289%2B1%29%2Az+%29
It becomes highlight_green%28+%289%2B1%29%2Az+%29-3=17.
Look at %28highlight_red%28+9+%29%2Bhighlight_red%28+1+%29%29%2Az-3=17.
Added fractions or integers together
It becomes %28highlight_green%28+10+%29%29%2Az-3=17.
Look at highlight_red%28+%28highlight_red%28+10+%29%29%2Az+%29-3=17.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes highlight_green%28+10+%29%2Az-3=17.
Look at 10%2Az-3=highlight_red%28+17+%29.
Moved these terms to the left highlight_green%28+-17+%29
It becomes 10%2Az-3-highlight_green%28+17+%29=0.
Look at 10%2Az-highlight_red%28+3+%29-highlight_red%28+17+%29=0.
Added fractions or integers together
It becomes 10%2Az%2Bhighlight_green%28+-20+%29=0.
Look at 10%2Az%2Bhighlight_red%28+-20+%29=0.
Removed extra sign in front of -20
It becomes 10%2Az-highlight_green%28+20+%29=0.
Look at highlight_red%28+10%2Az-20+%29=0.
Solved linear equation highlight_red%28+10%2Az-20=0+%29 equivalent to 10*z-20 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: z=2.

Universal Simplifier and Solver


Done!

Hope this helps!