Which equation does the graph of the systems of equations solve? a) -1/3x+1=-2x-4
b) 1/3x+1=-2x-4
c) 1/3x+1=2x-4
d) -1/3x-1=-2x-4

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

Subtract 1 from both sides

Simplify

subtract 2x from both sides

Simplify

Multiply both sides by 5

Simplify

Divide both sides by -5

Simplify

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

The answer would be c- 1/3x+1=2x-4

Step-by-step explanation:

It you put this equation into a graph it will look just like the photo  in the question.

the solution is h=10 because you add 9 to each side of the equation.