Question

What is the value of x in the equation 4x+8y=40 when y=0.5 ? NOTE: Type the numerical value as a decimal into the blank to receive credit for this question. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(1 point)x =

Answer 1

To find the value of \( x \) in the equation \( 4x + 8y = 40 \) when \( y = 0.5 \), we can substitute \( y \) with \( 0.5 \) in the equation.

Starting with the original equation:

\[ 4x + 8y = 40 \]

Substituting \( y = 0.5 \):

\[ 4x + 8(0.5) = 40 \]

Calculating \( 8(0.5) \):

\[ 4x + 4 = 40 \]

Next, we subtract 4 from both sides:

\[ 4x = 40 - 4 \]

This simplifies to:

\[ 4x = 36 \]

Now, we divide both sides by 4:

\[ x = \frac{36}{4} \] \[ x = 9 \]

Thus, the value of \( x \) is \( 9 \).

So the answer is:

\[ \boxed{9} \]