SOLUTION: The side of the equilateral triangle are given in cm.3x+2,2y-x,y+3. find x and y using substitution method

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: The side of the equilateral triangle are given in cm.3x+2,2y-x,y+3. find x and y using substitution method      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1198487: The side of the equilateral triangle are given in cm.3x+2,2y-x,y+3. find x and y using substitution method
Found 3 solutions by ewatrrr, MathLover1, MathTherapy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Previously addressed:
The side of the equilateral triangle are given in cm.3x+2,2y-x,y+3
2y-x = y+3
y-3 = x
3(y-3) +2= y+3
2y = 10
y = 5cm and x = 2cm
Checking:
6cm +2cm = 10cm-2cm=5cm+3 = 8cm checks

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The side of the equilateral triangle are given in +cm.
+3x%2B2
+2y-x
+y%2B3

find +x and +y+using substitution method
an equilateral triangle is a triangle in which all three sides have the same length
so
+3x%2B2=2y-x............1)
+2y-x=y%2B3.................2)
------------------------------------
+3x%2B2=2y-x............solve for +x
+3x%2Bx=2y-2
+4x=2%28y-1%29
+x=2%28y-1%29%2F4
+x=%28y-1%29%2F2............1a)

go to
+2y-x=y%2B3.................2), substitute x
+2y-%28y-1%29%2F2=y%2B3..........solve for y
+2%2A2y-2%28y-1%29%2F2=2y%2B3%2A2
+4y-%28y-1%29=2y%2B6
+4y-y%2B1=2y%2B6
+4y-y-2y=6-1
+y=5

go to
+x=%28y-1%29%2F2............1a), substitute +y
+x=%285-1%29%2F2
+x=2

so, +x=2 and +y=5
each side is +8cm long

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The side of the equilateral triangle are given in cm.3x+2,2y-x,y+3. find x and y using substitution method