Question

A system of equations is shown below.

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

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.

Answer 1

@QueenBee232 @larryboxaplenty @Lena772 @zzr0ck3r @Anhvypham @Kristen17

Answer 2

MC Mulitply each term in the second equation by 2 then add this result to the first equation (like terms). Your new system of equations will be the original first equation and the new second equation. Then solve both the original system of equations and new system of equations and you should get the same values for X and Y for both systems.

Answer 3

so
14x + 9y = 17

Answer 4

hello?

Answer 5

yes

Answer 6

Now solve the two sets of equations: I usually solve one equation for X and then use substitution to find Y and back substitution to find the value of X.

Answer 7

can you explain or show me how to do that im lost

Answer 8

@hullsnipe

Answer 9

@agent0smith

Answer 10

@zzr0ck3r

Answer 11

A Mathematica presentation is attached.

Answer 12

I also recommend WolframAlpha. (Open study won't let me draw for some reason)

http://www.wolframalpha.com/input/?i=8x%2B5y%3D9%2C+3x%2B2y%3D4 Create a free account, and click step-by-step solution. You can solve it via elimination or substitution.

Answer 13

That site solves more or less any equation, but don't use it unless you know how to solve them yourself or you won't learn anything.