SOLUTION: Hello! I don't understand what my lesson in is trying to explain by this: In the lessons you learned that the slopes of parallel lines are equal. Line 1 has the slope of 1/2, s

Question 960134: Hello! I don't understand what my lesson in is trying to explain by this:
In the lessons you learned that the slopes of parallel lines are equal. Line 1 has the slope of 1/2, so a line parallel to it has a slope of 1/2 as well. Lets apply some algebraic skills to this concept. Lets use the following example:
Line 1 is parallel to line 2. If the slope of L1 is x/2, and the slope of L2 is (3-2x)/2, find the value of x.
Knowing that parallel slopes are equal, you can create an algebraic equation by setting each given slope equal to each other. Then you can solve for the variable by cross multiplying.
x/2 = (3-2x)/2
2x = 2(3-2x)
2x = 6-4x
6x = 6
x = 1

Wouldn't the two lines be 1/2 and 2/2 (1)? How would they be parallel then?
I would appreciate any help in explaining this. Thank you!!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Multiply both sides by 2.

So then the left hand side is,

and the right hand side is

So,

RELATED QUESTIONS
Hello I have no idea how the instructor is coming up with 238 on the answer key. The... (answered by EMStelley,MathLover1)

Hello! My name is Aeriin yanu and I am having troubles with proving trigonometric... (answered by jim_thompson5910)

On a circle whose center is O, mark points P and A so that minor arc PA is a 46-degree... (answered by mananth)

Quick question. 23-(x-7) Trying to understand how this is solved. I know the... (answered by josgarithmetic)

Can anyone please help me with rationalizing, please? I just can't seem to understand... (answered by stanbon)

I am trying to figure finding slopes, if it exists, of the line containing the pair of... (answered by jim_thompson5910,stanbon)

#20) You are taking flying lessons to get a private pilot�s license. The cost of the... (answered by Theo)

Hello A pipe can empty a tank in 40 minutes. A second pipe with diameter twice as... (answered by math_helper,MathTherapy,greenestamps,ikleyn,Edwin McCravy)

the cost of the first lesson in a skiing program is one and a half times the cost of each (answered by josmiceli)