Question

Solve -2y + 7/5y = -4 - 3/5y - 2 for y.

A) y = 0
B) y = -13
C) No Solution
D) Infinite Solutions

Answer 1

To solve the equation -2y + (7/5)y = -4 - (3/5)y - 2 for y, combine like terms on both sides and isolate the y term by adding (3/5)y to both sides. Divide both sides by (6/5) to solve for y, which equals -5.

Step-by-step explanation:

To solve the equation -2y + (7/5)y = -4 - (3/5)y - 2 for y, we can combine like terms on both sides of the equation.

First, let's combine the y terms on the left side:

(-2 + 7/5)y = (-3/5)y - 6

Simplifying, we have (3/5)y = (-3/5)y - 6

Now, let's add (3/5)y to both sides to isolate the y term:

(3/5)y + (3/5)y = -6

Combining the y terms, we get (6/5)y = -6

Finally, we can solve for y by dividing both sides by (6/5):

(6/5)y / (6/5) = -6 / (6/5)

y = -6 * (5/6)

y = -5

Therefore, the solution to the equation is y = -5.