Question 182057
Solve, by substitution:
{{{8x+2y = 13}}}
{{{4x+y = 11}}} Solve this for y: {{{y = -4x+11}}} and substitute into the first equation.
{{{8x+2(-4x+11) = 13}}} Solve for x.
{{{8x-8x+11 = 13}}}
{{{11 = 13}}} No solution!
You can see why when you graph these two linear equations:
{{{graph(400,400,-5,5,-5,5,-4x+11,-4x+13)}}}
The lines are parallel, thus there is no intersection and no solution to this system of equations.