Question

1-1 1/2y+3 2/5 y =1 1/3 y - 2 7/15 y+ 2 1/2

Answer 1

Ответ:

Пошаговое объяснение:

-1 1/2у+3 2/5у-1 1/3у-2 1/2у=-2 7/15-3 2/5

3 6/15у-1 5/15у-4у=-2 7/15-3 6/15

-2 14/15у=-5 13/15

У=-5 13/15:(-2 14/15)

У=-88/15*(-15/54)

У=2

Answer 2

To solve the equation, we need to combine like terms and isolate the variable 'y' on one side of the equation. Let's go step by step:

Step 1: Combine the 'y' terms on the left side of the equation. 1 - 1/2y + 3 - 2/5y = 1 1/3y - 2 7/15y + 2 1/2

Step 2: Combine constants on both sides of the equation. 4 - (1/2)y - (2/5)y = (4/3)y - (29/15)y + 5/2

Step 3: Get rid of the fractions by finding a common denominator, which is 30 in this case. Multiply each term by 30 to eliminate the fractions:

30 * [4 - (1/2)y - (2/5)y] = 30 * [(4/3)y - (29/15)y + 5/2]

Step 4: Distribute the multiplication on both sides.

120 - 15y - 12y = 40y - 58y + 75

Step 5: Combine the 'y' terms on both sides.

120 - 27y = -18y + 75

Step 6: Move all 'y' terms to one side by adding 18y to both sides.

120 - 27y + 18y = 75

Step 7: Combine the 'y' terms again.

120 - 9y = 75

Step 8: Isolate 'y' on one side by subtracting 120 from both sides.

120 - 9y - 120 = 75 - 120

Step 9: Simplify.

-9y = -45

Step 10: Solve for 'y' by dividing both sides by -9.

y = -45 / -9

Step 11: Final solution.

y = 5

So, the solution to the equation is y = 5.