Question

Use the table to answer the 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:

\[
(3, 9)
\]