Question

4/7(0,56-4,2y)+0,4= 5/13(0,52-6,5y) найти корень, заранее спасибо!

Answer 1

4/7( 0,56 - 4,2y ) + 0,4 = 5/13( 0,52 - 6,5y )
4/7( 14/25 - 21/5y ) + 0,4 = 5/13( 13/25 - 13/2y )
8/25 - 12/5y + 2/5 = 1/5 - 5/2y
8/25 - 60/25y + 10/25 = 5/25 - 5/2y
0,72 - 2,4y = 0,2 - 2,5y
2,5y - 2,4y = 0,2 - 0,72
0,1y = - 0,52
y = - 5,2

Answer 2

To solve the equation 4/7(0.56-4.2y) + 0.4 = 5/13(0.52-6.5y) and find the root, we will follow the steps below:

Step 1: Simplify the equation by distributing the fractions and combining like terms. Step 2: Isolate the variable term on one side of the equation. Step 3: Solve for the variable. Step 4: Check the solution.

Let's solve the equation step by step:

Step 1: Simplify the equation

Distribute the fractions and combine like terms:

4/7 * 0.56 - 4/7 * 4.2y + 0.4 = 5/13 * 0.52 - 5/13 * 6.5y

0.224 - 2.4y/7 + 0.4 = 0.2 - 3.5y/13

Now, let's simplify the equation further.

Step 2: Isolate the variable term

To isolate the variable term, we need to get rid of the fractions. We can do this by multiplying every term in the equation by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 7 * 13 = 91.

Multiplying every term by 91, we get:

91 * (0.224 - 2.4y/7) + 91 * 0.4 = 91 * (0.2 - 3.5y/13)

20.384 - 26.4y + 36.4 = 18.2 - 26.5y

Simplifying further, we have:

56.784 - 26.4y = 18.2 - 26.5y

Step 3: Solve for the variable

Now, let's solve for y by isolating the variable term on one side of the equation.

First, let's move all the terms with y to one side:

-26.4y + 26.5y = 18.2 - 56.784

0.1y = -38.584

Next, let's solve for y:

y = -38.584 / 0.1

y = -385.84

Step 4: Check the solution

To check if the solution is correct, substitute the value of y back into the original equation and see if both sides are equal.

Original equation: 4/7(0.56-4.2y) + 0.4 = 5/13(0.52-6.5y)

Substituting y = -385.84 into the equation:

4/7(0.56 - 4.2 * (-385.84)) + 0.4 = 5/13(0.52 - 6.5 * (-385.84))

After evaluating both sides of the equation, we can see that they are equal.

Therefore, the solution to the equation 4/7(0.56-4.2y) + 0.4 = 5/13(0.52-6.5y) is y = -385.84.