help quick1. 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) ?2. Let ​ f(x)=x+2f(x)=x+2 ​ and ​ g(x)=2x+1 ​ .Graph the functions on the same coordinate plane.What are the solutions to the equation f(x)=g(x) ?Enter your answers in the boxes.x = or x =

1.You have two ways for solving this.
First, you could use a graphing utility or calculator to graph both functions on the same plane, and given that the functions do not have a [tex]y[/tex] coordinate, the solution of [tex]f(x)=g(x)[/tex] will be the [tex]x[/tex] coordinate in which the tow graphs intercept (cross each other) as you can see in the picture (1).
The other way is equating the two equations and solve for x:
We know that [tex]f(x)=2x+1[/tex] and [tex]g(x)=-x+7[/tex], so [tex]f(x)=g(x)[/tex] is equivalent to [tex]2x+1=-x+7[/tex]. The only thing left is solving the equation for x:
[tex]2x+1=-x+7[/tex]
[tex]3x=6[/tex]
[tex]x=2[/tex]
As you can see, both ways gives us the same answer: the solution to the equation [tex]f(x)=g(x)[/tex] is [tex]x=2[/tex].

2. For this one we can repeat the exact same procedures as before: 
Graph the functions on the same plane using a graph calculator or graphing utility, and identify the [tex]x[/tex] coordinate in which the two graphs intercept as you can see in the picture (2), or you we can also equate both equations, and solve for [tex]x[/tex]:
[tex]x+2=2x+1[/tex]
[tex]x=1[/tex]
And just like before, both ways gives us the same answer: the solution to the equation [tex]f(x)=g(x)[/tex] is [tex]x=1[/tex]

So, the answer that you should enter in your boxes are: 2 in the first, and 1 in the second one.