In the equation 5x - 2y = 10, what is the value of y when x = 0?

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Question: In the equation 5x - 2y = 10, what is the value of y when x = 0?

Options:

Correct Answer: 5

Solution:

Substituting x = 0 into the equation gives -2y = 10, leading to y = -5.

In the equation 5x - 2y = 10, what is the value of y when x = 0?

In the equation 5x - 2y = 10, what is the value of y when x = 0?

Step 1: Start with the equation 5x - 2y = 10.
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: 5(0) - 2y = 10.
Step 4: Calculate 5(0), which is 0. So the equation simplifies to 0 - 2y = 10.
Step 5: This simplifies further to -2y = 10.
Step 6: To find y, divide both sides of the equation by -2. This gives y = 10 / -2.
Step 7: Calculate 10 / -2, which equals -5.
Step 8: Therefore, when x = 0, the value of y is -5.

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