SOLUTION: Given the linear equation: -find the y-coordinates of the given points. Show work. y=-1/3x+5 (0,?), (3,?), (-3,?)

Algebra ->  Linear-equations -> SOLUTION: Given the linear equation: -find the y-coordinates of the given points. Show work. y=-1/3x+5 (0,?), (3,?), (-3,?)      Log On


   



Question 308842: Given the linear equation:
-find the y-coordinates of the given points. Show work.
y=-1/3x+5
(0,?), (3,?), (-3,?)

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
this is a substitution problem, bt I will give you a graph first
graph%28+500%2C+-10%2C+10%2C+-10%2C+10%2C+-1%2F3%2Ax%2B5+%29+
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • Graphical form: 1%2F3%2Ax%2B5 simplifies to 5
  • Text form: 1/3*x+5 simplifies to 5
  • Cartoon (animation) form: simplify_cartoon%28+1%2F3%2Ax%2B5+%29
    For tutors: simplify_cartoon( 1/3*x+5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+1+%29%2F3%2Ax%2B5.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2F3%2B5.

Look at highlight_red%28+x%2F3+%29%2B5.
Since highlight_red%28+x%2F3+%29 has zero as a factor, it should be replaced with a zero

Look at 0%2B5.
Replaced x with 0
It becomes 0%2B5.

Look at 0%2Bhighlight_red%28+5+%29.
Added fractions or integers together
It becomes 0%2Bhighlight_green%28+15%2F3+%29.

Look at 0%2Bhighlight_red%28+15+%29%2Fhighlight_red%28+3+%29.
Factors 15 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 0%2Bhighlight_green%28+5+%29%2Fhighlight_green%28+1+%29.

Look at highlight_red%28+0+%29%2Bhighlight_red%28+5%2F1+%29.
Added fractions or integers together
It becomes highlight_green%28+5+%29.
Result: 5

Universal Simplifier and Solver


Done!

Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • Graphical form: 1%2F3%2Ax%2B5 simplifies to 6
  • Text form: 1/3*x+5 simplifies to 6
  • Cartoon (animation) form: simplify_cartoon%28+1%2F3%2Ax%2B5+%29
    For tutors: simplify_cartoon( 1/3*x+5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+1+%29%2F3%2Ax%2B5.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2F3%2B5.

Look at highlight_red%28+x+%29%2F3%2B5.
Replaced x with 3
It becomes highlight_green%28+3+%29%2F3%2B5.

Look at highlight_red%28+3%2F3+%29%2Bhighlight_red%28+5+%29.
Added fractions or integers together
It becomes highlight_green%28+18%2F3+%29.

Look at highlight_red%28+18+%29%2Fhighlight_red%28+3+%29.
Factors 18 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes highlight_green%28+6+%29%2Fhighlight_green%28+1+%29.

Look at 6%2Fhighlight_red%28+1+%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 6.
Result: 6

Universal Simplifier and Solver


Done!

Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • Graphical form: 1%2F3%2Ax%2B5 simplifies to 4
  • Text form: 1/3*x+5 simplifies to 4
  • Cartoon (animation) form: simplify_cartoon%28+1%2F3%2Ax%2B5+%29
    For tutors: simplify_cartoon( 1/3*x+5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+1+%29%2F3%2Ax%2B5.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2F3%2B5.

Look at highlight_red%28+x+%29%2F3%2B5.
Replaced x with -3
It becomes highlight_green%28+-3+%29%2F3%2B5.

Look at highlight_red%28+-3%2F3+%29%2Bhighlight_red%28+5+%29.
Added fractions or integers together
It becomes highlight_green%28+12%2F3+%29.

Look at highlight_red%28+12+%29%2Fhighlight_red%28+3+%29.
Factors 12 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes highlight_green%28+4+%29%2Fhighlight_green%28+1+%29.

Look at 4%2Fhighlight_red%28+1+%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 4.
Result: 4

Universal Simplifier and Solver


Done!