Question

HELP!!!!!!!!!!!!!

To solve the equation 3x−2=4x−1 , Veronica graphs the functions f(x)=3x−2 and g(x)=4x−1

on the same set of coordinate axes.

Which statement describes the solution of the equation ​ 3x−2=4x−1?


(A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

(B) The solution of the equation cannot be found graphically. Veronica should solve the equation algebraically.

(C) The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect.

(D) The solution of the equation is the y-intercept of the linear equations.

Answer 1

A). The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

Explanation:

The two CAN be graphed, so B) is out of the question. The answer isn't on the y coordinate, so A) is the only thing that is left. I also took the test and can assure this is 100% correct. :)

Answer 2

we have that

f(x)=3x-2

g(x)=4x-1

3x-2=4x-1-------------> 4x-3x=-2+1--- > x=-1

find the value of f(x) or g(x) for x=-1

f(x)=3x-2 -------> f(-1)=3*(-1)-2 ------> f(-1)=-5

the solution is the point (-1,-5)

using a graph tool

see the attached figure

the answer is

case (A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.