Question

7+9х/4+2х-х/9=7х+1 решение

Answer 1

$7 + \frac{9x}{4} + 2x - \frac{x}{9} = 7x + 1 \\ \frac{9x}{4} - \frac{x}{9} + 2x - 7x = 1 - 7 \\ \frac{77}{36} x - 5x = - 6 \\ - \frac{103}{36} x = - 6 \\ \frac{130}{36} x = 6 \\ 130x = 6 \times 36 \\ 130 x = 216 \\ x = \frac{216}{130} \\ x = \frac{108}{65}$
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Answer 2

To solve the equation, let's simplify it step by step:

7 + (9x/4) + 2x - (x/9) = 7x + 1

First, let's simplify the equation by combining like terms:

(9x/4) + 2x - (x/9) = 7x - 6

To simplify further, we can find a common denominator for the fractions. The least common multiple (LCM) of 4 and 9 is 36. So, we'll rewrite the equation with a common denominator of 36:

(9x9/49) + (2x36/136) - (x4/94) = (7x36/136) - (636/136)

81x/36 + 72x/36 - 4x/36 = 252x/36 - 216/36

Now, we can combine the fractions on each side of the equation:

(81x + 72x - 4x) / 36 = (252x - 216) / 36

149x / 36 = (252x - 216) / 36

To eliminate the denominator, we can multiply both sides of the equation by 36:

36 * (149x / 36) = 36 * ((252x - 216) / 36)

149x = 252x - 216

Next, let's isolate the variable terms on one side and the constant terms on the other side:

149x - 252x = -216

Combine like terms:

-103x = -216

Now, we can solve for x by dividing both sides of the equation by -103:

x = -216 / -103

Calculating the division:

x ≈ 2.0971

So, the solution to the equation is approximately x = 2.0971.