Answer
$x = \frac 6 5$ and $y = \frac 7 5$
Work Step by Step
1. Notice that, if we add the two equations, neither $x$ or $y$ will be eliminated. But, if we multiply the second equation by 2, the $y$ unknown will be eliminated:
$x + 2y = 4$
$2(2x - y) = 2(1)$
$x + 2y = 4$
$4x - 2y = 2$
Adding the equations:
$x + 4x + 2y - 2y = 4 + 2$
$5x = 6$
$\frac{5x}{5} = \frac{6}{5}$
$x = \frac{6}{5}$
2. Calculate the $y$ value by substituting the value for $x$ on the first equation:
$(\frac 6 5) + 2y = 4$
$2y = 4 - \frac 6 5$
$2y = \frac{20}{5} - \frac 6 5$
$2y = \frac {14} 5$
$y = \frac 7 5$
