A system of equations is shown below:
-3x + 7y = -16
-9x + 5y

Part A:
Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this.

Part B:
Show that the equivalent system has the same solution as the original system of equations.

I sort of know how to solve part B but I'm having a lot of trouble with part A. I don't need exact answers but would like help understanding on how to solve this. An answer would be appreciated though. :)

Question

A system of equations is shown below:
-3x + 7y = -16
-9x + 5y

Part A:
Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other.  Show the steps to do this.

Part B:
Show that the equivalent system has the same solution as the original system of equations.

I sort of know how to solve part B but I'm having a lot of trouble with part A.  I don't need exact answers but would like help understanding on how to solve this.  An answer would be appreciated though. :)

anonymous · Answer

Lol, the second equation is supposed to be -9x + 5y = 16. Sorry bout that.

rock_mit182 · Answer

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