Question

1)−4x−17=6x+43 X= 2) 13y+5=22−16y Y= 3)8⋅(2+y)−3y=6y−61 Y=

Answer 1

1)) -4х-17=6х+43

-4х-6х=43+17

-10х=60

Х=-6

Answer 2

Let's solve each equation step by step:

1. -4x - 17 = 6x + 43

To solve for x, we need to isolate the variable on one side of the equation. Let's move the terms containing x to one side:

-4x - 6x = 43 + 17

-10x = 60

Next, we'll divide both sides of the equation by -10 to solve for x:

x = 60 / -10

x = -6

Therefore, the solution to the equation is x = -6.

2. 13y + 5 = 22 - 16y

First, let's combine like terms by adding 16y to both sides of the equation:

13y + 16y + 5 = 22

29y + 5 = 22

Next, let's isolate the term with y by subtracting 5 from both sides:

29y = 22 - 5

29y = 17

Finally, divide both sides of the equation by 29 to find the value of y:

y = 17 / 29

y ≈ 0.5862 (rounded to four decimal places)

Therefore, the solution to the equation is y ≈ 0.5862.

3. 8(2 + y) - 3y = 6y - 61

Let's simplify the equation by distributing 8 to the terms inside the parentheses:

16 + 8y - 3y = 6y - 61

Combine like terms by adding 3y to both sides:

16 + 8y - 3y + 3y = 6y - 61 + 3y

16 + 8y = 9y - 61

Next, let's isolate the variable by subtracting 9y from both sides:

16 - 61 = 9y - 8y

-45 = y

Therefore, the solution to the equation is y = -45.