Question

2•(Х-1 1/10)+4 1/5=5 1/3​

Answer 1

2 • (х - 11/10) + 21/5 = 16/3
2х - 11/5 + 21/5 = 16/3
2х + 2 = 16/3
2х = 16/3 - 2
2х = 10/3
х = 5/3

Answer 2

To solve the equation 2(x - 1 1/10) + 4 1/5 = 5 1/3, we'll follow these steps:

Step 1: Simplify the equation by converting all mixed numbers to improper fractions. Step 2: Solve for x by isolating it on one side of the equation.

Let's go through these steps one by one:

Step 1: Convert mixed numbers to improper fractions: 1/10 = 1/10 4 1/5 = 4 + 1/5 = 4 + 1/5 = (45 + 1)/5 = 21/5 5 1/3 = 5 + 1/3 = 5 + 1/3 = (53 + 1)/3 = 16/3

Now the equation becomes: 2(x - 1 1/10) + 21/5 = 16/3

Step 2: Solve for x: Distribute 2 to the expression inside the parentheses: 2x - 2(1 1/10) + 21/5 = 16/3

Convert 1 1/10 to an improper fraction: 1 1/10 = 1 + 1/10 = 1 + 1/10 = (1*10 + 1)/10 = 11/10

Substitute the value of 1 1/10 with 11/10: 2x - 2(11/10) + 21/5 = 16/3

Multiply 2 by 11/10 and simplify: 2x - 22/10 + 21/5 = 16/3 2x - 11/5 + 21/5 = 16/3 2x + 10/5 = 16/3 2x + 2 = 16/3 (simplified the fractions)

Now, let's get rid of the fraction by multiplying through by 3: 3(2x + 2) = 16 6x + 6 = 16

Subtract 6 from both sides of the equation: 6x + 6 - 6 = 16 - 6 6x = 10

Divide both sides of the equation by 6 to solve for x: (6x)/6 = 10/6 x = 10/6 x = 5/3

Therefore, the solution to the equation 2(x - 1 1/10) + 4 1/5 = 5 1/3 is x = 5/3.