Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

Algebra ->  Algebra -> Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!


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)=12This 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
Answer by jim_thompson5910(9911) About Me  (Show Source):
You can put this solution on YOUR website!

x+(x+1)+(x+2)=12 Start with the given equation.


x+x+1+x+2=12 Remove the parenthesis


3x+3=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=(9)/(3) Divide both sides by 3 to isolate x.


x=3 Reduce.


----------------------------------------------------------------------

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.