Question

question 1 (multiple choice worth 2 points) (06.02r mc) solve the system $y = 2x + 6$ and $3y = 6x + 18$ by using graph paper or graphing technology. what is the solution to the system? (2, 6) (3, 6) no solutions infinite solutions

Explanation:

Step1: Simplify the second equation

Divide the second equation \(3y = 6x + 18\) by 3.
\(\frac{3y}{3}=\frac{6x + 18}{3}\)
Which simplifies to \(y = 2x + 6\).

Step2: Compare the two equations

The first equation is \(y = 2x + 6\) and the simplified second equation is also \(y = 2x + 6\). This means both equations represent the same line.

Answer:

Infinite solutions