Question

Solve the system of linear equations.

x=9y−1

x−8y=7
(1 point)
Responses

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

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

x = 3, y= -7
x = 3, y= -7

x = 71, y= 8

Answer 1

To solve the system of equations:

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

We can substitute Equation 1 into Equation 2.

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

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

Adding 1 to both sides, we get:
\[
y = 8
\]

Now, substitute \( y = 8 \) back into Equation 1 to find \( x \):
\[
x = 9(8) - 1
\]
\[
x = 72 - 1
\]
\[
x = 71
\]

Thus, the solution to the system is:
\[
x = 71, \quad y = 8
\]

Therefore, the answer is:
**x = 71, y = 8**.