Question

Consider the system of equations, y = f(x) and y= g(x), where

Answer 1

Answer:

  (x, y) = (3, 26)

Step-by-step explanation:

I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.

  (x, y) = (3, 26)

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As an alternative, here, the equations can be subtracted.

  y = f(x)

  y = g(x)

  0 = f(x) - g(x)  . . . .  subtract the second equation from the first

  0 = 11x -7 -(3x +17)

  0 = 8x -24 . . . . simplify

  0 = x -3 . . . . . . .divide by 8

  3 = x

Now, we can substitute into either equation:

  y = g(x) = 3(3) +17 = 26

The solution is (x, y) = (3, 26).