Question

Solve the system of equations. y = 9x y = 2x +49

Answer 1

To solve the system of equations, we have the following two equations:

1. \( y = 9x \)
2. \( y = 2x + 49 \)

Since both equations are equal to \( y \), we can set them equal to each other:

\[
9x = 2x + 49
\]

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

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

\[
9x - 2x = 49
\]

\[
7x = 49
\]

2. Now, divide both sides by 7:

\[
x = \frac{49}{7} = 7
\]

Now that we have \( x \), we can find \( y \) using the first equation:

\[
y = 9x = 9(7) = 63
\]

So, the solution to the system of equations is:

\[
(x, y) = (7, 63)
\]