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

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

x = 8, y= 72

Answer 1

To solve the system of linear equations:

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

We can substitute Equation 1 into Equation 2.

Substituting \( x \) from Equation 1 into Equation 2:

\[
(9y - 1) - 8y = 7
\]

Now simplify:

\[
9y - 1 - 8y = 7
\]
\[
y - 1 = 7
\]
\[
y = 8
\]

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 of equations is:

\[
x = 71, y = 8
\]

So the correct response is:

**x = 71, y = 8**.