## Algebra 1

$(11,-1/2)$ Substitution was more efficient. Please see the graph.
$y = 1/2 * x -6$ $2x+6y = 19$ $2x+6y = 19$ $2x+6*(1/2 * x -6) = 19$ $2x + 3x -36 = 19$ $5x - 36 = 19$ $5x -36+36 = 19+36$ $5x = 55$ $5x/5 = 55/5$ $x = 11$ $y = 1/2*x -6$ $y = 1/2 * 11 -6$ $y = 11/2 - 6$ $y = 11/2 - 12/2$ $y = -1/2$ The graph was made using graphing software. Green line: $2x+6y=19$ Blue line: $y=.5x-6$