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

Algebra.Com
Question 26607: -3x+5y=11
x=2y-5
Answer by Alwayscheerful(414)   (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.

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


YOUR ANSWER


  • This is an equation! Solutions: y=4.
  • Graphical form: Equation was fully solved.
  • Text form: -3*(2y-5)+5y=11 simplifies to 0=0
  • Cartoon (animation) form:
    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 .
Moved these terms to the left highlight_green%28+-11+%29
It becomes .
Look at .
Expanded term -3 by using associative property on %282%2Ay-5%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 4 to the right of expression
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -1
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-y%2B4=0+%29 equivalent to -y+4 =0
It becomes .
Result:
This is an equation! Solutions: y=4.

Universal Simplifier and Solver


Done!

Now you know , plug 4 in for y and you'll get x

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


YOUR ANSWER


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

DETAILED EXPLANATION

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

Universal Simplifier and Solver


Done!

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