Question

2 × (x - 1 1/10 ) + 4 1/10 равно 5 1/3​

Answer 1

Ответ:

151/20

Пошаговое объяснение:

2x-22/10+41/10=51/3

2x=22/10-41/10+51/3

2x=22-41/10+51/3

2x=-19/10+17

2x=-19+170/10

2x=151/10

x=151/20

Answer 2

To solve the equation 2 × (x - 1 1/10) + 4 1/10 = 5 1/3, we'll start by simplifying the expressions on both sides.

First, let's convert the mixed numbers into improper fractions: 1 1/10 = (10 + 1)/10 = 11/10 4 1/10 = (10 + 1)/10 = 11/10 5 1/3 = (3 × 5 + 1)/3 = 16/3

Now we can rewrite the equation as: 2 × (x - 11/10) + 11/10 = 16/3

Next, distribute the 2 to the terms inside the parentheses: 2x - 2 × 11/10 + 11/10 = 16/3

Simplify the terms: 2x - 22/10 + 11/10 = 16/3 2x - 11/10 = 16/3

To eliminate the fractions, we can multiply both sides of the equation by the common denominator of 10 and 3, which is 30: 30 × (2x - 11/10) = 30 × (16/3) 30 × 2x - 30 × 11/10 = 30 × 16/3

Simplify the equation: 60x - 33 = 160

Now, isolate the variable x by moving the constant term to the other side of the equation: 60x = 160 + 33 60x = 193

Finally, solve for x by dividing both sides by 60: x = 193/60

The solution to the equation 2 × (x - 1 1/10) + 4 1/10 = 5 1/3 is x = 193/60, which can be further simplified if needed.