Question 61534
There are several ways to solve linear equations:  by substitution, addition, graphing/plotting.  Let's graph them; first solve each equation for y.  The first equation becomes {{{y=-expr(1/2)x+4}}} and the second becomes {{{y=expr(5/6)x-expr(4/3)}}}.  Looking at the following graph, you see they intersect at (4,2), which is the solution.  To check that solution, substitute that ordered pair for x and y in both original equations; you should get two true statements.
{{{graph(200,200,-2,8,-2,5,-x/2+4,(5x-8)/6)}}}