Question 530655
Get each equation in slope-intercept form, define two points for each, draw the graphs.  The point where the cross is the solution of the system of equation.
.
2x -y = 11
-y = -2x + 11
y = 2x -11
.
2x + 3y = 7
3y = -2x +7
y = -(2/3)x + 7/3
.
{{{ graph(500,500,-3,7,-5,5,2*x-11,-2/3*x+7/3) }}}
.
So, the point (5,-1) is the common solution.
.
2(5)-11 = -1, correct
-2/3*5 + 7/3 = -1, correct
.
Done.