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:

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