Respuesta :
The solution of f(x) = g(x) = 2x+1 = -x +7
===> 3x = 6.........=> x = 2............=> g(2) = 2(2) +1 = 5
the intersection of both lines is (x,y) = (2,5)
===> 3x = 6.........=> x = 2............=> g(2) = 2(2) +1 = 5
the intersection of both lines is (x,y) = (2,5)
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The solution of two linear equations can be evaluated by various methods. The solution to the equation f(x)=g(x) is x=2.
Here, it is given that [tex]f(x)=2x+1\;\rm{and}\;g(x)=-x+7[/tex].
Now, Evaluating the value of (x) when both the functions are equated to each other.
Therefore, equate the functions and solve it further.
[tex]f(x)=g(x)\\2x+1=-x+7\\3x=6\\x=2[/tex]
Thus, the solution to the questions is x=2.
The graph is also given to cross verify the solutions.
Hence, it is verified by graphical method.
To know more about it, please refer to the link:
https://brainly.com/question/14811804
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