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.

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

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

anonymous · Answer

@amistre64

anonymous · Answer

@mathstudent55

amistre64 · Answer

multiply one of them by a useful value, and add it to the other .. a useful value will be such that you produce a negative element of the other one that will cancel out when added

anonymous · Answer

can you give me an example im still a little confused :/

anonymous · Answer

@surjithayer

anonymous · Answer

3x+8y=12    ...(1)
2x+2y=3       ...(2)
multiply (2) by -4 and add in (1)
3x+8y-8x-8y=12-12
-5x=0
x=0
put in (1)
y =?