Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane. What is the solution to the equation f(x)=g(x) ? Enter your answer in the box.

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)


Ver imagen calculista

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

Ver imagen ankitprmr2