Ren was trying to solve a system of linear equations. He correctly argued that he could replace one equation by the sum of that equation and a multiple of the other. He stated that this would produce a system that has the same solution as the original system.
To show this, Ren wrote down a system of equations. He then determined which other systems of equations would have the same solution as his original system. Ren's original system is shown
below.
-2x - 5y = -47
4x - 2y = -2
Complete the table below to determine which system(s) of equations has the same solution as the original system shown above. Choose Has the Same Solution or Does Not Have the Same
Solution for each system of equations.
Has the Same Solution Does Not Have the Same Solution
-14x + y = -41
4x - 2y = -2
- 2x - 5y = -47
6x + 3y = 45
-2x - 5y = -47
8x - 5y = -8