Question

2.5x + 6.3 = 7 1/3 решети уравнение

Answer 1

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Answer 2

To solve the equation 2.5x + 6.3 = 7 1/3, we'll first convert the mixed number on the right side to an improper fraction and then isolate the variable x.

Step 1: Convert 7 1/3 to an improper fraction. To convert 7 1/3 to an improper fraction, we multiply the whole number (7) by the denominator of the fraction (3) and add the numerator (1). The result will be the new numerator, and the denominator remains the same (3).

7 * 3 + 1 = 21 + 1 = 22

So, 7 1/3 as an improper fraction is 22/3.

Now, the equation becomes:

2.5x + 6.3 = 22/3

Step 2: Isolate the variable x. To isolate x, we need to get rid of the constant term on the left side (6.3). We can do this by subtracting 6.3 from both sides of the equation:

2.5x + 6.3 - 6.3 = 22/3 - 6.3

The left side simplifies to:

2.5x = 22/3 - 6.3

Step 3: Convert 6.3 to a fraction with the same denominator as 22/3. To do this, we multiply 6.3 by 3/3 (which is equivalent to 1) to get a fraction with a denominator of 3.

6.3 * 3/3 = 18.9/3

Now the equation becomes:

2.5x = 22/3 - 18.9/3

Step 4: Subtract the fractions on the right side.

2.5x = (22 - 18.9)/3

Calculate the numerator:

2.5x = 3.1/3

Step 5: Isolate x by dividing both sides by 2.5.

x = (3.1/3) / 2.5

Now, divide the fraction:

x = (3.1/3) * (1/2.5)

x = 3.1 / 7.5

Step 6: Simplify the fraction.

x ≈ 0.41333333

Rounded to four decimal places, x ≈ 0.4133.

Therefore, the solution to the equation is approximately x = 0.4133.