A system of equations is shown below:

3x + 8y = 12
2x + 2y = 3

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

Question

A system of equations is shown below:

3x + 8y = 12
2x + 2y = 3

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

anonymous · Answer

I want to know for Part A if my answer is correct.
My answer: 5x + 10y = 15
                  4x + 4y = 6

anonymous · Answer

Never mind. My answer is correct because my system of equations has the same solution just like the original one. Solution is (0, 1.5) which satisfies both equations

campbell_st · Answer

I'd multiply the 2nd equation by -4  

-8x -8y = -12

then the 2 equations 

  3x + 8y = 12
-8x  - 8y = -12
---------------
  -5x       = 0           this is the sum of the 2 equations... it eliminated y 

that's my best guess

anonymous · Answer

How about mine is that okay?

anonymous · Answer

Only confusing part are the instructions. "replacing one equation with the sum of that equation and a multiple of the other."

campbell_st · Answer

your equations are equivalent but don't really help in obtaining a solution.

campbell_st · Answer

the fact that you were asked to sum the equations... is normally what is done to eliminate a variable