Determine if @POINT is a Solution (4,-3) , -3x+2y=-8 , 6x-y=27

Problem

Point: *(4,−3), Equations: −3*x+2*y=−8,6*x−y=27

Solution

1. Identify the coordinates of the given point (x,y) where x=4 and y=−3

2. Substitute the values into the first equation −3*x+2*y=−8 to check for equality.

−3*(4)+2*(−3)=−8

−12−6=−8

−18=−8

3. Evaluate the result of the first substitution. Since −18≠−8 the point (4,−3) is not a solution to the first equation.

4. Conclude that because the point must satisfy both equations in a system to be a solution, and it failed the first one, the point is not a solution to the system.

Final Answer

(4,−3)* is not a solution to the system.

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