Graph the system below and write its solution.

Question

−6x-2y=0

y=−3x-2

Note that you can also answer "No solution" or "Infinitely many" solutions.

Answer 1

-6x - 2y = 0

-2y = 6x

y = -3x

y = -3x -2

Two equations with same slope and different intercepts are of parallel line.

No common solution.

Answer 2

-6x-2y=0

-3x -y = 0

y = -3x

y = -3x -2

-3x = -3x-2

0=-2, an impossibility

no solution DNE

solve by substitution, elimination, matrix algebra or graphing

a good graphing calculator will give you the intersection point

on line like desmos or a handheld calculator like TI83 or 84

if the graph is 2 parallel lines there is no intersection point, no solution

no real solution. no imaginary solution, no complex solution

but there are 2 surreal solutions, +/- infinity

but the answer you want is DNE, Does Not Exist

no real values exists for x and y that would make 0=-2 to make both equations true