Question

The graph of the system of equations is given below:

Red Line: y=3+2

Blue Line: y=-x+6

image.png
write the solution with an ordered pair

Answer 1

To find the solution to the system of equations given by the lines:

1. Red Line: \( y = 3 + 2 \) simplifies to \( y = 5 \).
2. Blue Line: \( y = -x + 6 \).

To find the intersection point, we set \( y \) from the red line equal to \( y \) from the blue line:

\[
5 = -x + 6
\]

Now, solve for \( x \):

\[
5 - 6 = -x
\]
\[
-1 = -x
\]
\[
x = 1
\]

Now that we have \( x \), we can substitute it back into either line's equation to find \( y \). We’ll use the red line equation \( y = 5 \):

So the solution as an ordered pair is:

\[
(1, 5)
\]

Thus, the solution to the system of equations is \( (1, 5) \).