SOLUTION: I need help! 1. 6 = 2y - y + 4 2. -23 + 8 + x = -2 + 13

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I need help! 1. 6 = 2y - y + 4 2. -23 + 8 + x = -2 + 13       Log On


   

Question 5957: I need help!
1. 6 = 2y - y + 4
2. -23 + 8 + x = -2 + 13
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: y=2.
  • Graphical form: Equation 6=2y-y%2B4 was fully solved.
  • Text form: 6=2y-y+4 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+6=2y-y%2B4+%29
    For tutors: simplify_cartoon( 6=2y-y+4 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 6=highlight_red%28+2%2Ay+%29-highlight_red%28+y+%29%2B4.
Eliminated similar terms highlight_red%28+2%2Ay+%29,highlight_red%28+-y+%29 replacing them with highlight_green%28+%282-1%29%2Ay+%29
It becomes 6=highlight_green%28+%282-1%29%2Ay+%29%2B4.
Look at 6=highlight_red%28+%282-1%29+%29%2Ay%2B4.
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes 6=y%2B4.
Look at 6=highlight_red%28+y%2B4+%29.
Moved these terms to the left highlight_green%28+-y+%29,highlight_green%28+-4+%29
It becomes 6-highlight_green%28+y+%29-highlight_green%28+4+%29=0.
Look at highlight_red%28+6+%29-y-highlight_red%28+4+%29=0.
Added fractions or integers together
It becomes highlight_green%28+2+%29-y=0.
Look at highlight_red%28+2+%29-y=0.
Moved 2 to the right of expression
It becomes -y%2Bhighlight_green%28+2+%29=0.
Look at highlight_red%28+-y%2B2+%29=0.
Solved linear equation highlight_red%28+-y%2B2=0+%29 equivalent to -y+2 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=2.

Universal Simplifier and Solver


Done!

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


YOUR ANSWER


  • This is an equation! Solutions: x=26.
  • Graphical form: Equation -23%2B8%2Bx=-2%2B13 was fully solved.
  • Text form: -23+8+x=-2+13 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-23%2B8%2Bx=-2%2B13+%29
    For tutors: simplify_cartoon( -23+8+x=-2+13 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+23+%29%2Bhighlight_red%28+8+%29%2Bx=-2%2B13.
Added fractions or integers together
It becomes highlight_green%28+-15+%29%2Bx=-2%2B13.
Look at highlight_red%28+-15+%29%2Bx=-2%2B13.
Moved -15 to the right of expression
It becomes x%2Bhighlight_green%28+-15+%29=-2%2B13.
Look at x%2Bhighlight_red%28+-15+%29=-2%2B13.
Removed extra sign in front of -15
It becomes x-highlight_green%28+15+%29=-2%2B13.
Look at x-15=-highlight_red%28+2+%29%2Bhighlight_red%28+13+%29.
Added fractions or integers together
It becomes x-15=highlight_green%28+11+%29.
Look at x-15=highlight_red%28+11+%29.
Moved these terms to the left highlight_green%28+-11+%29
It becomes x-15-highlight_green%28+11+%29=0.
Look at x-highlight_red%28+15+%29-highlight_red%28+11+%29=0.
Added fractions or integers together
It becomes x%2Bhighlight_green%28+-26+%29=0.
Look at x%2Bhighlight_red%28+-26+%29=0.
Removed extra sign in front of -26
It becomes x-highlight_green%28+26+%29=0.
Look at highlight_red%28+x-26+%29=0.
Solved linear equation highlight_red%28+x-26=0+%29 equivalent to x-26 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=26.

Universal Simplifier and Solver


Done!