In the equation 4x + 5y = 20, what is the value of y when x = 0?

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Question: In the equation 4x + 5y = 20, what is the value of y when x = 0?

Options:

Correct Answer: 5

Solution:

Setting x = 0 in the equation gives 5y = 20, leading to y = 4.

In the equation 4x + 5y = 20, what is the value of y when x = 0?

In the equation 4x + 5y = 20, what is the value of y when x = 0?

Step 1: Start with the equation 4x + 5y = 20.
Step 2: Substitute x = 0 into the equation. This means you replace x with 0.
Step 3: The equation now looks like this: 4(0) + 5y = 20.
Step 4: Calculate 4(0), which is 0. So the equation simplifies to 0 + 5y = 20.
Step 5: Now, the equation is 5y = 20.
Step 6: To find y, divide both sides of the equation by 5. This means you do 20 ÷ 5.
Step 7: Calculate 20 ÷ 5, which equals 4.
Step 8: Therefore, the value of y when x = 0 is 4.

Linear Equations – Understanding how to manipulate and solve linear equations for specific variable values.
Substitution – The process of substituting a given value into an equation to find the corresponding value of another variable.