SOLUTION: Let f(x) = 4/3x + 8 and g(x) = -x-5, At what point do f(x) and g(x) intersect? (Write the coordinates)

Algebra ->  Linear-equations -> SOLUTION: Let f(x) = 4/3x + 8 and g(x) = -x-5, At what point do f(x) and g(x) intersect? (Write the coordinates)      Log On


   

Question 125118This question is from textbook Intermediate Algebra Review
: Let f(x) = 4/3x + 8 and g(x) = -x-5, At what point do f(x) and g(x) intersect? (Write the coordinates) This question is from textbook Intermediate Algebra Review

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x) = 4/3x + 8 and g(x) = -x-5, At what point do f(x) and g(x) intersect? (Write the coordinates)
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They intersect where f(x)=g(x)
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EQUATION:
(4/3)x+8 = -x-5
(4/3)x = -x - 13
(4/3)x +(3/3)x = -13
(7/3)x = -13
7x = -39
x = -39/7
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Substitute to solve for "y":
y = -(-39/7) -5
y = (39/7)-(35/7)
y = 4/7
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x=-39/7 ; y = 4/7
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Cheers,
Stan H.