Question

Substitute 1.5 for x and 3 for y in the first equation.
y = 2x
___ = 2 (___)
Answer
Simplify the first equation
Answer
Simplify the first equation.
y = 2x
3 = 2 (1.5)
3 = ___
Answer
Substitute 1.5 for x and 3 for y in the second equation.

y = 6 - 2x
___ = 6 - 2 (____)
Answer
Simplify the second equation.
y = 6 - 2x
3 = 6 - 2 (1.5)
3 = ___
Answered by GPT-4o mini
To substitute 1.5 for \( x \) and 3 for \( y \) in the equation \( y = 2x \):

1. Start with the equation:
\[
y = 2x
\]

2. Substitute \( 1.5 \) for \( x \):
\[
y = 2(1.5)
\]

3. Now calculate the right side:
\[
y = 2 \times 1.5 = 3
\]

Thus, you can fill in the blanks as follows:
\[
3 = 2(1.5)
\]
Answered by GPT-4o mini
The first equation you provided is:

\[
y = 2x
\]

This equation is already in a simplified form. It expresses \( y \) in terms of \( x \) and indicates that \( y \) is directly proportional to \( x \) with a proportionality constant of 2.

If you are looking for a specific form of simplification, such as solving for \( x \) in terms of \( y \), you could rearrange the equation:

1. Start with:
\[
y = 2x
\]

2. Divide both sides by 2:
\[
x = \frac{y}{2}
\]

The equation is now expressed as \( x = \frac{y}{2} \).

If you have any other specific form of simplification in mind, please let me know!
Answered by GPT-4o mini
The equation is:

\[
y = 2x
\]

We already established that when substituting \( x = 1.5 \):

\[
y = 2(1.5) = 3
\]

Now, if you're looking to express \( 3 \) in terms of \( 2 \) and \( x \), we have:

Since \( y = 3 \) when \( x = 1.5 \), we can substitute \( y \) back into the equation:

\[
3 = 2(1.5)
\]

Now to fill in the blank:

\[
3 = 2(1.5) \implies 3 = 2 \times 1.5
\]

So, you can fill in the blank as:

\[
3 = 2(1.5)
\]

This shows that \( 3 \) is equal to \( 2 \) times \( 1.5 \).
Answered by GPT-4o mini
To substitute \( 1.5 \) for \( x \) and \( 3 \) for \( y \) in the equation \( y = 6 - 2x \), we'll do the following:

1. Start with the equation:
\[
y = 6 - 2x
\]

2. Substitute \( 1.5 \) for \( x \):
\[
y = 6 - 2(1.5)
\]

3. Now calculate the right-hand side:
\[
y = 6 - 2 \times 1.5 = 6 - 3 = 3
\]

Now, putting this into your format, we have:

\[
3 = 6 - 2(1.5)
\]

So the completed statement is:

\[
3 = 6 - 2(1.5)
\]
Answered by GPT-4o mini
To simplify the second equation and fill in the blank, let's start from the equation you provided:

\[
y = 6 - 2x
\]

We already know that:

\[
3 = 6 - 2(1.5)
\]

Now, we can simplify the right side of the equation \( 6 - 2(1.5) \):

1. Calculate \( 2(1.5) \):
\[
2(1.5) = 3
\]

2. Substitute this back into the equation:
\[
y = 6 - 3
\]

3. Then simplify:
\[
y = 3
\]

Now, we can fill in the blank.

Since we already wrote:
\[
3 = 6 - 2(1.5)
\]

We know that \( 3 \) corresponds to \( y \):

So, filling in that blank we get:
\[
3 = 6 - 2(1.5) \implies 3 = 6 - 3
\]

Thus, you can express the completed equation as:

\[
3 = 6 - 2(1.5)
\]
So:
\[
3 = 6 - 3
\]

Hence, the blank can be filled with \( 1.5 \). Therefore:
\[
3 = 6 - 2(1.5)
\]
And the full equation reads:
\[
3 = 6 - 2(1.5)
\]