1/9 = a / a + 24 solve for a
do you mean 1/9 = a /(a + 24) ?
just cross multiply! i.e. multiply the numerator of one side by the denominator of the other side
(1)(a+24) = 9(a)
solve for a.
a+24=9a
24=9a-a
24=8a
8a=24 Divided with 8
a=3
Cheking:
3/(3+24)=3/(27)= 3/(3*9)= 1/9
To solve the equation 1/9 = a / (a + 24) for a, we can use algebraic steps.
Step 1: Clear the denominator by multiplying both sides of the equation by (a + 24):
1/9 * (a + 24) = a
Step 2: Distribute the 1/9 to both terms in the parentheses:
(a + 24) / 9 = a
Step 3: Multiply both sides of the equation by 9 to get rid of the fraction:
(a + 24) = 9a
Step 4: Expand the equation:
a + 24 = 9a
Step 5: Subtract a from both sides of the equation:
24 = 9a - a
Simplifying, we get:
24 = 8a
Step 6: Divide both sides of the equation by 8 to isolate a:
24/8 = a
Simplifying further:
3 = a
So, the solution to the equation is a = 3.