Use the table to answer the question.

Question

x-value y-value if y=x+6
y-value if y=2x+3
0 6 3
1 7 5
2 8 7
3 9 9
4 10 11

A system of equations is displayed in the table. What is the solution for the system?
(1 point)
(
,
)

Answer 1

To find the solution for the system of equations represented in the table, we need to identify where the two equations intersect.

The equations based on the table are:

1. \( y = x + 6 \)
2. \( y = 2x + 3 \)

We can find the intersection by setting the two equations equal to each other:

\[ x + 6 = 2x + 3 \]

Now, let's solve for \( x \):

\[ 6 - 3 = 2x - x \] \[ 3 = x \]

Now that we have \( x = 3 \), we can find \( y \):

Using either equation, let's use \( y = x + 6 \):

\[ y = 3 + 6 = 9 \]

Thus, the solution to the system of equations is:

\[ (3, 9) \]

So the answer is:

\[ (3, 9) \]