Question

Graph the functions f(x)=−6x+14 and g(x)=−2x+6 on the same coordinate plane. What are the solutions of the equation −6x+14=−2x+6 ? Select each correct answer. 0 1 2 3 4

Answer 1

We can solve for x: -6x+14=-2x+6
Add 6x to both sides:
14=4x+6
Subtract 6 from both sides:
8=4x
Divide both sides by
4: 2 = x
And we achieve the solution of the equation, x = 2. When looking at the graphs of the functions we should see them cross each other only at the point (2,2).

Answer 2

The first thing you should do for these cases is to graph both lines and see where they intersect.
At the point of intersection we will find the solution a f (x) = g (x)
For this case, when observing the graph, we see that the lines intersect at the point P = (2,2).
Therefore the solution is x = 2
answer
x = 2