Question

Решить уравнение 5+2y/2=o y^2-8y/4=0 10-3y/4y=-2 6-y/2y-1=4/3

Answer 1

$\fracno numeric noise key 1028no numeric noise key 1027 = 0 \\ 5 + 2y = 0 y =- 1026no numeric noise key 1025 - 2.5$

(y²-8y)/4=0

y²-8y=0
y(y-8)=0
y1=0
y2=8

(10-3y)/4y=-2
10-3y=-8y
5y=10
y=2

(6-2y)/(2y-1)=4/3
3(6y-2)=4(2y-1)
18y-6=8y-4
10y=2
y=0,2

Answer 2

To solve each of these equations, let's follow the steps for each one:

1. 5 + 2y/2 = 0

Step 1: Combine like terms. 5 + y = 0

Step 2: Isolate y on one side of the equation. y = -5

2. y^2 - 8y/4 = 0

Step 1: Simplify the equation. y^2 - 2y = 0

Step 2: Factor out y. y(y - 2) = 0

Step 3: Set each factor to zero and solve for y. y = 0 or y = 2

3. 10 - 3y/4y = -2

Step 1: Simplify the equation. 10 - (3y/(4y)) = -2

Step 2: Find the common denominator (4y). Multiply both sides by 4y to eliminate the fraction. 40y - 3y = -8y

Step 3: Move all y terms to one side of the equation. 40y + 8y = 3y

Step 4: Simplify the equation. 48y = 3y

Step 5: Solve for y. Divide both sides by 3 to solve for y. y = 0

4. (6 - y)/(2y - 1) = 4/3

Step 1: Cross-multiply to eliminate the fractions. 3(6 - y) = 4(2y - 1)

Step 2: Distribute the multiplication. 18 - 3y = 8y - 4

Step 3: Move all y terms to one side of the equation. 18 + 4 = 8y + 3y 22 = 11y

Step 4: Solve for y. Divide both sides by 11 to solve for y. y = 22/11

Simplified, y = 2

So, the solutions for each equation are:

1. y = -5
2. y = 0 or y = 2
3. y = 0
4. y = 2