Question

0,2×(4y-3)-0,5×(3y-5)=2,5-1,1y

Answer 1

0,2×(4y-3)-0,5×(3y-5)=2,5-1,1y

0,8у-0,6-1,25(3у-5)-1,1у

0,8у-0,6-3,75у+6,25-1,1у

-4,05у+5,65 (ответ)

Answer 2

To solve the equation, we'll first simplify the expressions on both sides and then isolate the variable y.

Given equation: 0.2 × (4y - 3) - 0.5 × (3y - 5) = 2.5 - 1.1y

Step 1: Distribute the coefficients: 0.2 × 4y - 0.2 × 3 - 0.5 × 3y + 0.5 × 5 = 2.5 - 1.1y

Step 2: Simplify each term: 0.8y - 0.6 - 1.5y + 2.5 = 2.5 - 1.1y

Step 3: Combine like terms on the left side: (0.8y - 1.5y) + (-0.6 + 2.5) = 2.5 - 1.1y

Step 4: Simplify further: -0.7y + 1.9 = 2.5 - 1.1y

Step 5: Move all the y terms to one side by adding 1.1y to both sides: -0.7y + 1.1y + 1.9 = 2.5

Step 6: Combine the y terms: 0.4y + 1.9 = 2.5

Step 7: Now, isolate the y term by moving 1.9 to the other side by subtracting 1.9 from both sides: 0.4y = 2.5 - 1.9

Step 8: Simplify: 0.4y = 0.6

Step 9: Finally, solve for y by dividing both sides by 0.4: y = 0.6 / 0.4

y = 1.5

So, the solution to the equation is y = 1.5.