Determine if the point (4,7) is a solution to the system of equations shown below. Justify your yes/no answer. y=2x-1 and y=1/2x+5

The point (4,7) is a solution to the system of equations.

Please also check the attached graph.

Step-by-step explanation:

Given the system of equations

Let us solve the system of equations using the elimination method

Arrange equation variables for elimination

subtracting the equations

now solving for x

Multiply both sides by 2

Simplify

Divide both sides by 3

Simplify

For plug in x = 4

Add 8 to both sides

Simplify

Therefore, the solution to the system of equations is:

(x, y) = (4, 7)

Hence, the point (4,7) is a solution to the system of equations.

Please also check the attached graph.

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