Question

A system of equations is shown below:

8x + 5y = 9
3x + 2y = 4

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.

Answer 1

@ganeshie8 @iambatman

Answer 2

@dan815

Answer 3

the wording is a bit confusing but i assume they mean:

step 1:
choose either the first or the second equation.

step 2:
multiply the other equation by any number you like

step 3:
add these two equations together

step 4:
replace the equation you choose in step 1 by the result of step 3

step 5:
prove the solution of these two equations is the same as the original two