Solve for y in the equation: 2y - 3 = 7.

Solve for y in the equation: 2y - 3 = 7.

• A. 3
• B. 5
• C. 4
• D. 6

Answer: (B)

To solve the equation \(2y - 3 = 7\), the goal is to isolate the variable \(y\). First, start by adding 3 to both sides of the equation to eliminate the -3 from the left side: \[ 2y - 3 + 3 = 7 + 3 \] This simplifies to: \[ 2y = 10 \] Next, divide both sides of the equation by 2 to solve for \(y\): \[ \frac{2y}{2} = \frac{10}{2} \] This simplifies to: \[ y = 5 \] Thus, the correct answer is 5, which corresponds to the option provided. This result indicates that when the original equation is satisfied with \(y\) equal to 5, both sides of the equation balance, fulfilling the requirement for equality in the equation. In the context of the other options, 3, 4, and 6 do not satisfy the equation when substituted back in for \(y\). Thus, they are not solutions to the equation. Therefore, 5 is the only correct value for \(y\) in this scenario.

To solve the equation (2y - 3 = 7), the goal is to isolate the variable (y).

First, start by adding 3 to both sides of the equation to eliminate the -3 from the left side:

[

2y - 3 + 3 = 7 + 3

]

This simplifies to:

[

2y = 10

]

Next, divide both sides of the equation by 2 to solve for (y):

[

\frac{2y}{2} = \frac{10}{2}

]

This simplifies to:

[

y = 5

]

Thus, the correct answer is 5, which corresponds to the option provided. This result indicates that when the original equation is satisfied with (y) equal to 5, both sides of the equation balance, fulfilling the requirement for equality in the equation.

In the context of the other options, 3, 4, and 6 do not satisfy the equation when substituted back in for (y). Thus, they are not solutions to the equation. Therefore, 5 is the only correct value for (y) in this scenario.