10 points!

2a-5b

= 1/2

3a+2b

find a/b

a/b = 12

Step-by-step explanation:

2a -5b          1

=

3a+2b             2

We can use cross products to get in the form of a /b

2(2a-5b) = 1(3a+2b)

Distribute

4a -10b=3a+2b

Get the a terms on the left and the b terms on the right

Subtract 3a from each side

4a-3a -10b=3a-3a+2b

a - 10b = 2b

Add 10b to each side

a-10b +10b = 2b+10b

a = 12 b

Divide each side by b

a/b = 12b/b

a/b = 12

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

lol! it is not weird, because that is how i feel when i get to know that there is a lot of people in one area or website at one time. i always want to make new friends! even if they are online friends.