Asystem of equations is shown below. which of the following statements describes the graph of this system of equations in the (x, y) coordinate plane?

3y − 5x = 15
6y − 10x = 30

select one:
a. two parallel lines with positive slope
b. two parallel lines with negative slope
c. a single line with positive slope
d. a single line with negative slope

Option C. will be correct.

Step-by-step explanation:

The equations of straight lines are given as  

3y - 5x = 15 ........... (1)

And, 6y - 10x = 30 ......... (2)

If we divide the equation (2), by 2 then we will get 3y - 5x = 15 which is nothing but the equation (1).

Therefore, those two equations (1) and (2) represents the same straight line.

Now, from equation (1), we can write  .

This is an equation of a straight line in slope-intercept form and here slope is positive.

Therefore, Option C. will be correct. (Answer)

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)