Solve the pair of simultaneous equations.

4e + 5f = 86

2f - e = 11

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- Jan 2nd 2008, 01:27 AMvincenzo[SOLVED] Simultaneous equation
Solve the pair of simultaneous equations.

4e + 5f = 86

2f - e = 11 - Jan 2nd 2008, 01:46 AMearboth
Hello,

there are a lot of different methods to solve this system of simultaneous equations. I'll demonstrate 2 of them:

First rearrange the 2nd equation!

1. multiply the 2nd equation by 4: and add columnwise:

. Plug in this result into any of the 2 equations and solve for e.

2. Solve the 2nd equation for e: e = 2f - 11 and substitute e by this term in the first equation:

Plug in the result for f into the 2nd equation.