How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Given:

Given that the two linear equations in the graph are and

We need to determine the number of solutions can be determined from the system of linear equations.

Solutions:

The number of solutions to the system of linear equations can be determined using the substitution method.

Substituting in the equation , we get;

Subtracting both sides of the equation by 2x, we get;

Subtracting both sides of the equation by 6, we have;

Dividing both sides of the equation by -5, we get;

Thus, the value of x is 2.

Substituting in the equation , we get;

Thus, the value of y is 0.

Hence, the solution to the system of linear equations is (2,0)

Therefore, the system of equations have one solution.

Thus, Option B is the correct answer.

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a

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