Question

Solve the system of linear equations.

x=9y−1
x−8y=7
(1 point)
Responses

x = 8, y= 72
x = 8, y= 72

x = 1, y= -1
x = 1, y= -1

x = 71, y= 8
x = 71, y= 8

x = 3, y= -7
x = 3, y= -7
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Answer 1

To solve the system of linear equations:

1. \( x = 9y - 1 \)
2. \( x - 8y = 7 \)

We can substitute the expression for \( x \) from the first equation into the second equation.

From equation 1, we have:
\[ x = 9y - 1 \]

Substituting into equation 2:
\[ (9y - 1) - 8y = 7 \]

Now, simplify the equation:
\[ 9y - 1 - 8y = 7 \]
\[ y - 1 = 7 \]
\[ y = 8 \]

Now that we have \( y \), we can find \( x \) using equation 1:
\[ x = 9y - 1 \]
\[ x = 9(8) - 1 \]
\[ x = 72 - 1 \]
\[ x = 71 \]

So, the solution to the system of equations is:
\[ x = 71, y = 8 \]

Thus, the correct response is:
**x = 71, y = 8**