Question

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a system with the same solution?

3x + 6y = 8
4x + 2y = 10

A) subtract 6 times the second equation from 2 times the first equation

B) add 3 times the first equation and −9 times the second equation

C) multiply the first equation by 1/3 and subtract the second equation

D) multiply 6y by 1/3in the first equation and subtract the second equation

Answer 1

D) multiply 6y by 1/3 in the first equation and subtract the second equation

Answer 2

D) multiply 6y by 1/3in the first equation and subtract the second equation

Explanation:

The rules of equality require that whatever is done to one side of the equation must also be done to the other side. Altering one term alters the equation, so will give a different answer than the original equation would.