A system of equations is shown below:

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

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.

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

anonymous · Answer

Do you understand the question? @camerondoherty

dan815 · Answer

you can chose other multiples

dan815 · Answer

3x+8y=12
2x+2y=3
-------------
5x+10y=15 <-------- get by adding the 2 given equations
4x+4y=6 <---------- multiple by 2 of the 2

dan815 · Answer

multiple by 2 of the 2nd given eqn

dan815 · Answer

Those 2 new equations under the separation '------' can be your new new 2 eqns

dan815 · Answer

5x+10y=15
4x+4y=6 
----------------
solve this system and see what x and y have to be, then you can plug it back into the first 2 given equations, and show that this x and y value satisfy those equations, so this means these 2 sets of system of equations are equivalent.

camerondoherty · Answer

Thanks @dan815 and sowwy i was eating lol