Question

Consider the following system of equations.

-2x + 5y = 19

y = -5/6x - 1/6

Use the graph of the system to approximate its solution.




A. (-5/2, 13/4)

B. (13/4, -5/2)

C.(-13/4, 5/2)

D.(5/2, -13/4)

Answer 1

Answer: Option 'C' is correct.

Explanation:

Since we have given that

`-2x+5y=19\\\\y=-(5)/(6)x-(1)/(6)\\\\\implies 6y=-5x-1\\\\`

Now, we draw the graph :

According to question, solution point is (-3.2,2.5)

At this point, both the equations intersected at .

By Option 'C' we can see that

`(-(13)/(4),(5)/(2))\\\\=(-3.25,2.5)`

and that is our required answer from the graph.

Hence, Option 'C' is correct.