Question

Б)419-3y=4y-8 Г)3,2+2,7x=0,48-0,02x Е)3/7x+2/5=3/5(5/7х+2/3) Решите пожалуйста

Answer 1

Б)
     419-3у=4у-8
    -3у-4у=-8-419
     -7у=-427
     у=61
г)
     3,2x+2,7=0,48-0,02x
     2,7x+0,02x=-3,2+0,48
     2,72x=-2,72
     x=-2,72:2,72
     x=-1

Answer 2

Solving the Equations

a) 419 - 3y = 4y - 8

To solve this equation, we can start by isolating the variable y on one side of the equation.

First, let's add 3y to both sides to move the y term to one side: \[ 419 - 3y + 3y = 4y - 8 + 3y \]

This simplifies to: \[ 419 = 7y - 8 \]

Next, let's add 8 to both sides to isolate the term with y: \[ 419 + 8 = 7y \]

This simplifies to: \[ 427 = 7y \]

Finally, we can solve for y by dividing both sides by 7: \[ y = \frac{427}{7} \]

b) 3.2 + 2.7x = 0.48 - 0.02x

To solve this equation, we can start by isolating the variable x on one side of the equation.

First, let's add 0.02x to both sides to move the x term to one side: \[ 3.2 + 2.7x + 0.02x = 0.48 \]

This simplifies to: \[ 3.2 + 2.72x = 0.48 \]

Next, let's subtract 3.2 from both sides to isolate the term with x: \[ 2.72x = 0.48 - 3.2 \]

This simplifies to: \[ 2.72x = -2.72 \]

Finally, we can solve for x by dividing both sides by 2.72: \[ x = \frac{-2.72}{2.72} \]

c) 3/7x + 2/5 = 3/5(5/7x + 2/3)

To solve this equation, we can start by distributing the 3/5 on the right side of the equation.

First, let's distribute 3/5 to both terms inside the parentheses on the right side: \[ 3/7x + 2/5 = 3/5 * 5/7x + 3/5 * 2/3 \]

This simplifies to: \[ 3/7x + 2/5 = 3/7x + 2/5 \]

As we can see, the equation simplifies to 3/7x + 2/5 = 3/7x + 2/5, which means that the equation is an identity and holds true for all values of x.

Therefore, the solution to the equation is that x can take any real value.

Solutions

- For the first equation, the solution is: y = 61 - For the second equation, the solution is: x = -1 - For the third equation, the solution is: x can take any real value