HELP!!!!!!!!!!!!!To solve the equation 3x−2=4x−1 , Veronica graphs the functions f(x)=3x−2 and g(x)=4x−1on 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.
Accepted Solution
A:
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.