Carlos graphed f(x) = -3x + 8 and g(x) = 7x - 2 on a coordinate plane. What is the solution of the functions?
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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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Step-by-step explanation:

When f(x) = g(x), -3x + 8 = 7x - 2.

=> 10x = 10, x = 1.

The solution of the functions is 1.