Question 354423
Solve by graphing:
{{{3x-2y = 4}}}
{{{-6x+4y = 7}}} Rewrite in slope-intercept form: {{{y = mx+b}}}
{{{3x-2y = 4}}} Add 2y to both sides.
{{{3x = 2y+4}}} Subtract 4 from both sides.
{{{3x-4 = 2y}}} Finally, divide both sides by 2.
{{{(3/2)x-2 = y}}} or
{{{highlight(y = (3/2)x-2)}}}
{{{-6x+4y = 7}}} Add 6x to both sides.
{{{4y = 6x+7}}} Finally, divide both sides by 4.
{{{y = (6/4)x+7/4}}} or
{{{highlight_green(y = (3/2)x+7/4)}}}
{{{graph(400,400,-5,5,-5,5,(3/2)x-2,(3/2)x+7/4)}}}
The lines are parallel so there is no intersection and no solution.