Question

Is (
–
5,1) a solution to this system of equations?
y=1
y= –2x – 9

Answer 1

To determine if the point \((-5, 1)\) is a solution to the system of equations given by \(y = 1\) and \(y = -2x - 9\), we need to check if this point satisfies both equations.

1. **Check the first equation: \(y = 1\)**

Substitute \(y = 1\):
\[
1 = 1
\]
This is true.

2. **Check the second equation: \(y = -2x - 9\)**

Substitute \(x = -5\) and \(y = 1\):
\[
1 = -2(-5) - 9
\]
Simplifying the right side:
\[
1 = 10 - 9
\]
\[
1 = 1
\]
This is also true.

Since the point \((-5, 1)\) satisfies both equations, it is indeed a solution to the system of equations.