Question

Solve the system 2x + 3y = 3 and 3x - 2y = 11 by using graph paper or graphing technology. What is the solution to the system?

Answer 1

if you put the equations in y-intercept form you find the y-int and slope
y = mx + b, m is the slope and b the y-int.
\[\large{2x+3y=3~->~y=\frac{-2}{3}x+1}\]
\[\large{3x-2y=11~->~y=\frac{3}{2}x-\frac{11}{2}}\]

Answer 2

different slopes, the lines intersect at some point, they are actually the negative reciprocal of each other, wich means they are perpendicular lines.
the first slope is -2/3 so when x increases by 3, y decreases by 2
the second slope is 3/2 when x increases by 2, y increases by 3
plot the lines.. the intersection point is the solution of the system