Question

(a-4b)/b=7 Знайти значення виразу 2a+3b/a

Answer 1

на фото..........................

Answer 2

To find the value of the expression (2a + 3b)/a, we first need to solve the equation (a - 4b)/b = 7 for the variable 'a', and then substitute the value of 'a' into the expression (2a + 3b)/a.

Let's solve the equation step by step:

Step 1: (a - 4b)/b = 7

To solve for 'a', we'll first clear the fraction by multiplying both sides of the equation by 'b':

a - 4b = 7b

Step 2: Now, isolate 'a' on one side of the equation. Add 4b to both sides:

a = 7b + 4b

a = 11b

Now we have found the value of 'a' in terms of 'b'. Next, let's substitute this value into the expression (2a + 3b)/a:

(2a + 3b)/a = [2(11b) + 3b]/(11b)

Now simplify the expression:

(2a + 3b)/a = (22b + 3b)/(11b)

Combine the like terms in the numerator:

(2a + 3b)/a = 25b/(11b)

Now, notice that 'b' appears in both the numerator and the denominator, so they cancel out:

(2a + 3b)/a = 25/11

Therefore, the value of the expression (2a + 3b)/a is 25/11.