Determine the solution to f (x) = g (x) using the following system of equations: f (x) = 3x + 12 g (x) = - 9.5x - 13

Question

Mathematics

Quentin Howard

9 January, 12:09

Determine the solution to f (x) = g (x) using the following system of equations: f (x) = 3x + 12 g (x) = - 9.5x - 13

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Leonard Case · Answer 1

F (x) = g (x)

f (x) = 3x + 12

g (x) = - 9.5x - 13

Since both are equal. then

3x + 12 = - 9.5x - 13

3x + 9.5x = - 13 - 12

12.5x = - 25

12.5x/12.5 = - 25/12.5

x = - 2

to check:

f (-2) = 3 (-2) + 12 = - 6 + 12 = 6

g (-2) = - 9.5x - 13 = - 9.5 (-2) - 13 = 19 - 13 = 6

f (x) = g (x)

f (-2) = g (-2)

6 = 6