SOLUTION: How do I sole these? x + 2y = 8 5x - 6y = 8

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: How do I sole these? x + 2y = 8 5x - 6y = 8      Log On


   



Question 61534: How do I sole these?
x + 2y = 8
5x - 6y = 8

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
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%281%2F2%29x%2B4 and the second becomes y=expr%285%2F6%29x-expr%284%2F3%29. 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%28200%2C200%2C-2%2C8%2C-2%2C5%2C-x%2F2%2B4%2C%285x-8%29%2F6%29