In the equation 3x + 4y = 12, what is the value of y when x = 0?

₹0.0

Question: In the equation 3x + 4y = 12, what is the value of y when x = 0?

Options:

Correct Answer: 4

Solution:

Substituting x = 0 gives 4y = 12, thus y = 3.

In the equation 3x + 4y = 12, what is the value of y when x = 0?

In the equation 3x + 4y = 12, what is the value of y when x = 0?

Step 1: Start with the equation 3x + 4y = 12.
Step 2: Substitute x = 0 into the equation. This means wherever you see x, you replace it with 0.
Step 3: The equation now looks like this: 3(0) + 4y = 12.
Step 4: Simplify the equation. 3(0) is 0, so it becomes 0 + 4y = 12.
Step 5: Now, the equation is 4y = 12.
Step 6: To find y, divide both sides of the equation by 4. This means you do 12 ÷ 4.
Step 7: Calculate 12 ÷ 4, which equals 3.
Step 8: Therefore, y = 3.

Linear Equations – Understanding how to manipulate and solve linear equations for one variable.
Substitution – The process of replacing a variable with a specific value to find the corresponding value of another variable.