solve for x in the following proportion?

x/2 = 3/7
(x/2)*2*7 = (3/7)*2*7
x*7 = 3*2
7x = 6
x = 6/7

y/10 = 3/5
(y/10)*10*5 = (3/5)*10*5
y*5 = 3*10
5y = 30
y = 30/5
y = 6

Hope this helps.

x/2 = 3/7
x = 6/7

y/10= 3/5
y = 30/5 = 6

Find x (x:2 = 3:7)
= (2 * 6)/7
= 6/7

Answer: x = 6/7 or 6/7:2 = 3:7 or 6:14 = 21:49 where x = 6.

Find y (y/10 = 3/5):
= 10(3/5)
= 6

Answer: y = 6

Proof:
6/10 = 3/5
3/5 = 3/5

cross multiply, proportions are division!

x/2 = 3/7

i think it's easier to see them lined up, so multiply diagonals, and then divide that x coefficient:

7x= (3 * 2)
7x = 6
x = 6/7

next:

y/10 = 3/5

same thing, "Cross multiply":
5y = 3 * 10
5y = 30
y = 6

to cross multiply, simply:
multiply the first fraction's numerator by the second fraction's denominator, then the first fraction's denominator by the second fraction's numerator and set them equal to each other, then, isolate the variable by dividing

1)
x : 2 = 3 : 7
x = (2 * 3) : 7
x = 6 : 7

2)
y/10 = 3/5
y = 10(3/5)
y = 30/5
y = 6

x/2 = 3/7
x = 6/7

Check
6 / 7 : 2
6 : 14
3 : 7

y/10 = 3/5
y = 30/5
y = 6

Solve The Following Proportion

x = 9 * 8/ 6 = 12