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.

Step-by-step explanation:

Since we have given that

$-2x+5y=19\\\\y=-\frac{5}{6}x-\frac{1}{6}\\\\\implies 6y=-5x-1$

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

$(-\frac{13}{4},\frac{5}{2})\\\\=(-3.25,2.5)$

and that is our required answer from the graph.

Hence, Option 'C' is correct.