Question

5/7(5,6 - 2,1 y)=2,4(5/8-2/3y)

Answer 1

Ответ на фотографии ниже.

Answer 2

To solve the equation, we need to find the value of 'y.' Let's start by simplifying the expression step by step.

Given equation: 5/7(5.6 - 2.1y) = 2.4(5/8 - 2/3y)

Step 1: Distribute the constants outside the parentheses.

(5/7) * 5.6 - (5/7) * 2.1y = 2.4 * (5/8) - 2.4 * (2/3)y

Step 2: Perform the arithmetic calculations.

(25/7) - (15/7)y = (6/8) - (8/3)y

Step 3: Get rid of the fractions by multiplying each term by the least common multiple (LCM) of the denominators, which is 7 * 8 * 3 = 168.

168 * [(25/7) - (15/7)y] = 168 * [(6/8) - (8/3)y]

Step 4: Simplify the equation further.

168 * (25/7) - 168 * (15/7)y = 168 * (6/8) - 168 * (8/3)y

Step 5: Cancel out the denominators.

24 * 25 - 24 * 15y = 21 * 6 - 56y

Step 6: Continue simplifying.

600 - 360y = 126 - 56y

Step 7: Move all the 'y' terms to one side of the equation and the constant terms to the other side.

360y - 56y = 600 - 126

Step 8: Combine like terms.

304y = 474

Step 9: Isolate 'y' by dividing both sides by 304.

y = 474 / 304

Step 10: Simplify the fraction if possible.

y ≈ 1.5592

So, the approximate value of 'y' that satisfies the equation is y ≈ 1.5592.