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Find the point at which the line f(x)=4x+7 intersects the line g(x)=5x-1.

Sagot :

Answer:

(8, 39 )

Step-by-step explanation:

To find the point of intersection, equate them, that is

g(x) = f(x) , then

5x - 1 = 4x + 7 ( subtract 4x from both sides )

x - 1 = 7 ( add 1 to both sides )

x = 8

To find the corresponding y- coordinate , substitute x = 8 into either g(x) or f(x)

substituting into g(x) , then

g(8) = 5(8) - 1 = 40 - 1 = 39

Point of intersection is at (8, 39 )