Question

9) 7/4 (21 -х )=7/3х+20​

Answer 1

Ответ:

x = 201/49

Пошаговое объяснение:

(7/4)(21 - x) = (7/3)x + 20

147/4 -(7/4)x = (7/3)x + 20

441 - 21x = 28x + 240

-49x = -201

x = 201/49

Answer 2

To solve the given equation $\frac{7}{4}(21 - x) = \frac{7}{3}x + 20$, we'll follow these steps:

Step 1: Distribute on the left-hand side Step 2: Combine like terms Step 3: Isolate $x$ and solve for $x$

Let's proceed with the calculations:

Step 1: Distribute on the left-hand side: $\frac{7}{4} \times 21 - \frac{7}{4}x = \frac{7}{3}x + 20$

Step 2: Combine like terms: $\frac{147}{4} - \frac{7}{4}x = \frac{7}{3}x + 20$

Step 3: Isolate $x$: First, let's get rid of the fractions by multiplying both sides by 12 (the least common multiple of 4 and 3):

$12 \times \left(\frac{147}{4} - \frac{7}{4}x\right) = 12 \times \left(\frac{7}{3}x + 20\right)$

This simplifies to: $3 \times 147 - 3 \times 7x = 4 \times 7x + 240$

Now, let's solve for $x$:

$441 - 21x = 28x + 240$

Move $28x$ to the left and $441$ to the right:

$441 - 240 = 28x + 21x$ $201 = 49x$

Now, isolate $x$ by dividing by $49$:

$x = \frac{201}{49}$

This can be further simplified as a mixed number or a decimal if needed.