Question

0,2(7-2y)-0,3(6-y)=2,3Надо решить и сделать проверку​

Answer 1

Ответ:

Пошаговое объяснение:

1.4-0.4у-1.8+0.3у=2.3

-0.1у=2.7

у=-27

Проверка

0.2(7+54)-0.3(6+27)=2.3

12.2-9.9=2.3

2.3=2.3

Answer 2

To solve the equation, follow these steps:

Step 1: Distribute the coefficients on each term. Step 2: Combine like terms. Step 3: Isolate the variable on one side of the equation. Step 4: Solve for the variable.

Let's go through each step:

Step 1: 0.2(7 - 2y) - 0.3(6 - y) = 2.3

Distribute the coefficients: 1.4 - 0.4y - 1.8 + 0.3y = 2.3

Step 2: Combine like terms: (1.4 - 1.8) + (0.3y - 0.4y) = 2.3

Simplify further: -0.4 + (-0.1y) = 2.3

Step 3: Isolate the variable term: -0.1y = 2.3 + 0.4

Step 4: Solve for y: -0.1y = 2.7

Divide both sides by -0.1 to solve for y: y = 2.7 / -0.1 y = -27

Now, let's perform the check by substituting the value of y back into the original equation:

0.2(7 - 2y) - 0.3(6 - y) = 2.3

Substitute y = -27:

0.2(7 - 2(-27)) - 0.3(6 - (-27)) = 2.3

Simplify inside the parentheses:

0.2(7 + 54) - 0.3(6 + 27) = 2.3

0.2(61) - 0.3(33) = 2.3

Now, calculate the left side:

12.2 - 9.9 = 2.3

The left side is equal to the right side (2.3 = 2.3), which means the solution is correct.

Therefore, the solution to the equation is y = -27, and it satisfies the original equation.