Question

( 9,2\3 -x ) / 3,5 = 17\35 / 1,02

Answer 1

1,02*(9 2/3-х)=17/35*3,5 493/50-51/50х=17/10 -51/50х=17/10-493/50 -51/50х=85/50-493/50 -51/50х=-408/50 Х=-408/50:(-51/50)=-408/50*(-50/51) Х=8

Answer 2

Х=1.4 (92-30х)/105=1700/3570, 92-30х=50, х=(92-50)/30=1.4

Answer 3

To solve the equation, we need to find the value of 'x'. Let's first simplify both sides of the equation step by step.

Step 1: Convert all fractions to decimals. 9 2/3 = 9.666... (recurring decimal, rounded to 3 decimal places) 17/35 = 0.485714... (recurring decimal, rounded to 6 decimal places) 1.02 = 1.02 (no need to round, as it's already in two decimal places)

Step 2: Rewrite the equation with decimals. (9.666... - x) / 3.5 = 0.485714... / 1.02

Step 3: Multiply both sides by 3.5 to eliminate the fraction on the left side. 9.666... - x = 0.485714... / 1.02 * 3.5

Step 4: Calculate the right side of the equation. 0.485714... / 1.02 * 3.5 ≈ 0.165857...

Step 5: Subtract the calculated value from 9.666... to find 'x'. x ≈ 9.666... - 0.165857...

Now, let's subtract the two values:

x ≈ 9.500142...

So, the approximate value of 'x' that satisfies the equation is 9.500142.