Solve the proportion for u. (u−2) : (u+3) = 4 : 3
3(u-2) = 4(u+3)
3u-6 = 4u+12
u = -18
check: -20/-15 = 4/3
yes
you can lun
To solve the proportion for u, we can cross-multiply. This means we multiply the numerator of the first fraction with the denominator of the second fraction and vice versa.
So, we have:
(u - 2) * 3 = 4 * (u + 3)
Next, we can distribute the multiplication on both sides of the equation:
3u - 6 = 4u + 12
Now, we can gather the terms with u on one side and the constant terms on the other side:
3u - 4u = 12 + 6
-simplify-
-u = 18
To isolate u, we multiply both sides of the equation by -1 to get rid of the negative sign:
u = -18
Therefore, the solution to the proportion is u = -18.