Solve the following system of equations: 4a+7b=48 8a+2c=48 6b+2c=32

Question

The answers for a,b,and c are either integers or simplified fractions 

Answer 1

This is a fairly straightforward system of 3 linear equations in 3 unknowns.  (The last two can be simplified, if you like, by dividing everything by 2.)

 

Use any method that you have been taught (presumably in Algebra II).  My personal favorite is using 3 by 4 augmented matrix on TI-84 calculator, "rref" operation on MATRIX menu.  Second favorite is Cramer's rule, using determinants.

 

The former is a calculator-only method, the latter is paper and pencil.  Just be very careful during data entry and with any paper & pencil work.  CHECK YOUR ANSWERS.