The sides of a triangle have measures of x, x, and y, and the perimeter of the triangle is 46. The measure y is 4 centimeters longer than the measure x. Write two equations which represent the two sentences.
Solve the system you wrote for this using any technique.

Question

saifoo.khan · Answer

The perimeter of a triangle is just equal to the sum of the measures of the sides. Since the sides have measures x, x, and y, we know the perimeter is x+x+y, which is the same as 2x+y. Since the perimeter is equal to 46, our first equation is 2x+y=46.

Since the measure y is 4 centimeters longer than the measure x, we know y is 4 more than x, so the second equation is y=x+4.

So, the two equations are 2x+y=46 and y=x+4.

saifoo.khan · Answer

SAME?

anonymous · Answer

man you are a fast typer!

anonymous · Answer

faster than a speeding super khan

saifoo.khan · Answer

lol, i already wrote this in her last question.

anonymous · Answer

no. it's not! u need 2 solve the system for this and he copy-pasted!

saifoo.khan · Answer

i just copied from there.

anonymous · Answer

why do you need a system?

saifoo.khan · Answer

LOL. 

SUPER TYPER!

anonymous · Answer

oh because that is what it says.  seems like a system is entirely unnecessary

saifoo.khan · Answer

LOL.

anonymous · Answer

really.
you get 
$$x+x+x+4=46$$
$$3x+4=46$$
$$3x=42$$
$$x=\frac{42}{3}=14$$

anonymous · Answer

Solve the system you wrote for this using any technique.
that's what's different in this one!

anonymous · Answer

i just wrote it out yes?  sides are x, x, and x+4  add together get 3x+4, which you know is 46.  solve the linear equation and that is it.  not much of a system

saifoo.khan · Answer

x = 14, y = 18