Question

A set of equations is shown above. Which method eliminates one of the variables? A) Multiply equation A by -1/3 and add the result to equation B. B) Multiply equation B by 3 and add the result to equation A. C) Multply equation A by 2 and equation B by -6 and add the results together. D) Multiply equation B by 5 and equation A by 4 and add the results together.

Answer 1

Answer:

Step-by-step explanation:

Multiplying Equation A by (1/3) and adding the result to Equation B will do the trick.  Let's actually solve the problem!

Equation A:  (5/3)x + 3y = 12

Equation B:    4x     -  3y = 8

                    ---------------------------

                     (5/3 + 12/3)x = 15        Note how this has eliminated the variable

                            (17/3)x = 15           y.

                                   x = (3/17)(15)