The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2 graphed by Carlos is x = 1
The given functions graphed by Carlos are:
f(x) = -3x + 8
g(x) = 7x - 2
The solution to the functions is the point where the two functions intersect on the graph
To get the point where the two functions intersect, equate f(x) and g(x).
That is, f(x) = g(x)
-3x + 8 = 7x - 2
Collect like terms:
7x + 3x = 8 + 2
10x = 10
Divide both sides by 10
10x / 10 = 10/10
x = 1
The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2 graphed by Carlos is x = 1
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