Question

Решите уравнение а)5у+(3у-3)=6у+11б)3у-(10+5у)=54в)7(х-8)=3х×16​

Answer 1

Ответ:

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Answer 2

a) 5y + (3y - 3) = 6y + 11

Let's solve this equation step by step:

First, simplify the equation by combining like terms:

5y + 3y - 3 = 6y + 11

Now, combine the y terms on both sides of the equation:

8y - 3 = 6y + 11

Next, isolate the y terms on one side of the equation by subtracting 6y from both sides:

8y - 6y - 3 = 11

Now, simplify the left side:

2y - 3 = 11

To isolate y, add 3 to both sides:

2y = 11 + 3 2y = 14

Finally, divide both sides by 2 to solve for y:

y = 14 / 2 y = 7

So, the solution to the equation is y = 7.

b) 3y - (10 + 5y) = 54

Let's solve this equation step by step:

First, simplify the equation by distributing the negative sign on the right side:

3y - 10 - 5y = 54

Now, combine the y terms on the left side of the equation:

(3y - 5y) - 10 = 54 -2y - 10 = 54

Next, isolate the -2y term by adding 10 to both sides:

-2y - 10 + 10 = 54 + 10 -2y = 64

Now, divide both sides by -2 to solve for y:

(-2y) / (-2) = 64 / (-2) y = -32

So, the solution to the equation is y = -32.

c) 7(x - 8) = 3x * 16

Let's solve this equation step by step:

First, distribute the 7 on the left side of the equation:

7x - 56 = 3x * 16

Now, simplify the right side by multiplying:

7x - 56 = 48x

Next, move all the x terms to the left side by subtracting 48x from both sides:

7x - 48x - 56 = 0

Now, combine like terms:

-41x - 56 = 0

To isolate -41x, add 56 to both sides:

-41x - 56 + 56 = 0 + 56 -41x = 56

Finally, divide both sides by -41 to solve for x:

(-41x) / (-41) = 56 / (-41) x = -56/41

So, the solution to the equation is x = -56/41.