Question

2-7y/6 + 4y+7/3 = -y/2

Answer 1

Ответ:

Пошаговое объяснение:

2-7y/6 + 4y+7/3 = -y/2

2-7у+2(4у+7)=-у*3

2-7у+8у+14=-3у

-7у+8у+3у=-2-14

4у=-16

у=-16:4

У=-4

Answer 2

To solve the equation (2-7y)/6 + (4y+7)/3 = -y/2, we can follow these steps:

Step 1: Find a common denominator for the fractions in the equation. The least common multiple (LCM) of 6, 3, and 2 is 6. So, we can rewrite the equation with a common denominator of 6:

(2-7y)/6 + (4y+7)/3 = -y/2 (2-7y)(1/6) + (4y+7)(2/6) = -y/2

Step 2: Distribute the denominators:

(2-7y)/6 + (4y+7)(2/6) = -y/2 (2-7y)/6 + (8y+14)/6 = -y/2

Step 3: Combine the fractions:

[(2-7y) + (8y+14)]/6 = -y/2 (2-7y + 8y + 14)/6 = -y/2 (2 + y + 14)/6 = -y/2 (16 + y)/6 = -y/2

Step 4: Multiply both sides of the equation by 6 and -2 to eliminate the denominators:

6 * (16 + y)/6 = -2 * (-y/2) 16 + y = y 16 = y - y 16 = 0

Step 5: Simplify and solve for y:

Since 16 = 0 is not a true statement, we can conclude that there is no solution to the equation.