SOLUTION: -3x+5y=11 x=2y-5

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Question 26607: -3x+5y=11
x=2y-5
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
All you have to do is plug in the x= equation in for x in the first equation.
-3%282y-5%29%2B5y=11
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=4.
  • Graphical form: Equation -3%2A%282y-5%29%2B5y=11 was fully solved.
  • Text form: -3*(2y-5)+5y=11 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3%2A%282y-5%29%2B5y=11+%29
    For tutors: simplify_cartoon( -3*(2y-5)+5y=11 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -3%2A%282%2Ay-5%29%2B5%2Ay=highlight_red%28+11+%29.
Moved these terms to the left highlight_green%28+-11+%29
It becomes -3%2A%282%2Ay-5%29%2B5%2Ay-highlight_green%28+11+%29=0.
Look at -highlight_red%28+3%2A%282%2Ay-5%29+%29%2B5%2Ay-11=0.
Expanded term -3 by using associative property on %282%2Ay-5%29
It becomes -highlight_green%28+3%2A2%2Ay+%29%2Bhighlight_green%28+3%2A5+%29%2B5%2Ay-11=0.
Look at -highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ay%2B3%2A5%2B5%2Ay-11=0.
Multiplied numerator integers
It becomes -highlight_green%28+6+%29%2Ay%2B3%2A5%2B5%2Ay-11=0.
Look at -6%2Ay%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29%2B5%2Ay-11=0.
Multiplied numerator integers
It becomes -6%2Ay%2Bhighlight_green%28+15+%29%2B5%2Ay-11=0.
Look at -6%2Ay%2Bhighlight_red%28+15+%29%2B5%2Ay-highlight_red%28+11+%29=0.
Added fractions or integers together
It becomes -6%2Ay%2Bhighlight_green%28+4+%29%2B5%2Ay=0.
Look at -6%2Ay%2Bhighlight_red%28+4+%29%2B5%2Ay=0.
Moved 4 to the right of expression
It becomes -6%2Ay%2B5%2Ay%2Bhighlight_green%28+4+%29=0.
Look at -highlight_red%28+6%2Ay+%29%2Bhighlight_red%28+5%2Ay+%29%2B4=0.
Eliminated similar terms highlight_red%28+-6%2Ay+%29,highlight_red%28+5%2Ay+%29 replacing them with highlight_green%28+%28-6%2B5%29%2Ay+%29
It becomes highlight_green%28+%28-6%2B5%29%2Ay+%29%2B4=0.
Look at %28-highlight_red%28+6+%29%2Bhighlight_red%28+5+%29%29%2Ay%2B4=0.
Added fractions or integers together
It becomes %28highlight_green%28+-1+%29%29%2Ay%2B4=0.
Look at %28highlight_red%28+-1+%29%29%2Ay%2B4=0.
Removed extra sign in front of -1
It becomes %28-highlight_green%28+1+%29%29%2Ay%2B4=0.
Look at highlight_red%28+%28-highlight_red%28+1+%29%29%2Ay+%29%2B4=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -highlight_green%28+1+%29%2Ay%2B4=0.
Look at -highlight_red%28+1+%29%2Ay%2B4=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -y%2B4=0.
Look at highlight_red%28+-y%2B4+%29=0.
Solved linear equation highlight_red%28+-y%2B4=0+%29 equivalent to -y+4 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=4.

Universal Simplifier and Solver


Done!

Now you know y=4, plug 4 in for y and you'll get x
x=2%284%29-5
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=3.
  • Graphical form: Equation x=2%2A%284%29-5 was fully solved.
  • Text form: x=2*(4)-5 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x=2%2A%284%29-5+%29
    For tutors: simplify_cartoon( x=2*(4)-5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x=highlight_red%28+2%2A%28highlight_red%28+4+%29%29+%29-5.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes x=2%2Ahighlight_green%28+4+%29-5.
Look at x=highlight_red%28+2+%29%2Ahighlight_red%28+4+%29-5.
Multiplied numerator integers
It becomes x=highlight_green%28+8+%29-5.
Look at x=highlight_red%28+8+%29-highlight_red%28+5+%29.
Added fractions or integers together
It becomes x=highlight_green%28+3+%29.
Look at x=highlight_red%28+3+%29.
Moved these terms to the left highlight_green%28+-3+%29
It becomes x-highlight_green%28+3+%29=0.
Look at highlight_red%28+x-3+%29=0.
Solved linear equation highlight_red%28+x-3=0+%29 equivalent to x-3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=3.

Universal Simplifier and Solver


Done!

Now you get x=3
So, your answer is (3,4)
Hope this helps!