Question

2×(х-1 1/10)+4 1/5=5 1/3

Answer 1

Ответ:

2×(х-1 1/10)+4 1/5=5 1/3

x= 5/3

Answer 2

To solve the equation 2x - 1 1/10 + 4 1/5 = 5 1/3, you can follow these steps:

Step 1: First, let's simplify the constants on the left side of the equation:

-1 1/10 + 4 1/5 = -11/10 + 21/5

Step 2: Find a common denominator for the fractions, which is 10:

-11/10 + (21/5 * 2/2) = -11/10 + 42/10

Now, we have:

-11/10 + 42/10 = (42 - 11)/10 = 31/10

So, the equation becomes:

2x + 31/10 = 5 1/3

Step 3: Convert 5 1/3 to an improper fraction:

5 1/3 = (5 * 3 + 1)/3 = 16/3

Now, the equation is:

2x + 31/10 = 16/3

Step 4: To isolate x, subtract 31/10 from both sides of the equation:

2x + 31/10 - 31/10 = 16/3 - 31/10

2x = (16/3 - 31/10)

Step 5: Find a common denominator to subtract the fractions on the right side:

2x = (160/30 - 93/30)

Now, subtract the fractions:

2x = (160 - 93)/30 = 67/30

Step 6: Finally, solve for x by dividing both sides by 2:

x = (67/30) / 2 = (67/30) * (1/2) = 67/60

So, the solution to the equation is:

x = 67/60