7x - y =7
x 0 1 2 3 4
y
x 0 1 2 3 4
y
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Answered by
GPT-4o mini
To find the values of \( y \) corresponding to the values of \( x \) in the equation \( 7x - y = 7 \), we can rearrange the equation to solve for \( y \):
\[
y = 7x - 7
\]
Now, we can substitute the given values of \( x \) into the equation to find the corresponding values of \( y \):
1. For \( x = 0 \):
\[
y = 7(0) - 7 = -7
\]
2. For \( x = 1 \):
\[
y = 7(1) - 7 = 0
\]
3. For \( x = 2 \):
\[
y = 7(2) - 7 = 7
\]
4. For \( x = 3 \):
\[
y = 7(3) - 7 = 14
\]
5. For \( x = 4 \):
\[
y = 7(4) - 7 = 21
\]
Now, compiling the values of \( y \) for the corresponding values of \( x \):
\[
\begin{align*}
x & : 0, 1, 2, 3, 4 \\
y & : -7, 0, 7, 14, 21
\end{align*}
\]
So, the pairs \((x, y)\) are:
- \( (0, -7) \)
- \( (1, 0) \)
- \( (2, 7) \)
- \( (3, 14) \)
- \( (4, 21) \)
\[
y = 7x - 7
\]
Now, we can substitute the given values of \( x \) into the equation to find the corresponding values of \( y \):
1. For \( x = 0 \):
\[
y = 7(0) - 7 = -7
\]
2. For \( x = 1 \):
\[
y = 7(1) - 7 = 0
\]
3. For \( x = 2 \):
\[
y = 7(2) - 7 = 7
\]
4. For \( x = 3 \):
\[
y = 7(3) - 7 = 14
\]
5. For \( x = 4 \):
\[
y = 7(4) - 7 = 21
\]
Now, compiling the values of \( y \) for the corresponding values of \( x \):
\[
\begin{align*}
x & : 0, 1, 2, 3, 4 \\
y & : -7, 0, 7, 14, 21
\end{align*}
\]
So, the pairs \((x, y)\) are:
- \( (0, -7) \)
- \( (1, 0) \)
- \( (2, 7) \)
- \( (3, 14) \)
- \( (4, 21) \)
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