Question

y=2x-2
y=2x+9

Answer 1

To solve the system of equations given by

1. \( y = 2x - 2 \)
2. \( y = 2x + 9 \)

we can set the two equations equal to each other since they both are equal to \(y\):

\[
2x - 2 = 2x + 9
\]

Now, we'll isolate the terms with \(x\) on one side and constants on the other side:

1. Subtract \(2x\) from both sides:

\[
-2 = 9
\]

This statement is false, indicating that there are no values of \(x\) that can satisfy both equations simultaneously. Consequently, the two lines represented by these equations are parallel and do not intersect.

Thus, the conclusion is that there is **no solution** to this system of equations.