SOLUTION: The preimeter of the triangle shown in the accompany figure is 12 meters. Determine the values of x, x+1, and x +2 by solving the equation. x+(x+1)+(x+2)=12

Algebra ->  Linear-equations -> SOLUTION: The preimeter of the triangle shown in the accompany figure is 12 meters. Determine the values of x, x+1, and x +2 by solving the equation. x+(x+1)+(x+2)=12      Log On


   

Question 170282This question is from textbook Elementary and Intermediate Algebra,
: The preimeter of the triangle shown in the accompany figure is 12 meters. Determine the values of x, x+1, and x +2 by solving the equation.
x+(x+1)+(x+2)=12 This question is from textbook Elementary and Intermediate Algebra,

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B%28x%2B1%29%2B%28x%2B2%29=12 Start with the given equation.


x%2Bx%2B1%2Bx%2B2=12 Remove the parenthesis


3x%2B3=12 Combine like terms on the left side.


3x=12-3 Subtract 3 from both sides.


3x=9 Combine like terms on the right side.


x=%289%29%2F%283%29 Divide both sides by 3 to isolate x.


x=3 Reduce.


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Answer:

So the answer is x=3 which means that the following sides are:

x: 3 units

x+1: 4 units (just add 1 to 3)

x+2: 5 units (just add 2 to 3)


Take note that 3+4+5=7+5=12 so this confirms our answer.