## Elementary Linear Algebra 7th Edition

$\frac{2x}{3} + \frac{y}{6} = \frac{2}{3}$ $4x + y = 4$ Multiply the first equation with 6: $\frac{2x}{3}*6 + \frac{y}{6}*6 = \frac{2}{3}*6$ $4x + y = 4$ From this we see that the two equations are the same. As such, their graphs overlay each other, having infinite intersection points, which means that the system has infinite solutions.