Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. what is the solution to the system?

a. (3, 2)
b. no solutions
c. (9, 2)
d. infinite solutions

Option: D is the correct answer.

D) Infinite solutions.

Step-by-step explanation:

We are given a system of equations as:

                y=3x+2--------(1)

and,           3y=9x+6----------(2)

on dividing both side of the equation (2) we obtain:

y=3x+2

Clearly we could observe that both the equations are same.

Hence, we will get a straight line passing through (-2/3,0) and (0,2) as a solution  ( i.e. y=3x+2)

Hence, there are infinite points on the line which are solution to the system.

Hence, option: D  is the correct answer.

first one is a: renaming a fraction. second one is c: de-c

step-by-step explanation:

my explanation is that these were the answers on edg : )

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c