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When solving systems of equations, how do you determine what method to use? For the next can you please help me solve it and what all you did please
here is the problem 6x - 4y = 54 -9x + 2y = -69
You generally look at what method will be the easiest/fastest to do.
With that equation, you can see that the y coefficients are two and 4. So, it looks like a minor effort to just multiply the one equation by two, and adding them together to eliminate the y-variable
I would do elimination but Cramer's rule is one of the fastest way to solve the system
Thank You but you can please help me on the problem too
Can you also tell what you did like step by step please and thank you :)
Sure. First multiply the second equation by 2: x2: -9x + 2y = -69 ---> -18x + 4y = -138 List the two equations and add: 6x -4y = 54 -18x + 4y = -138 __________________ -12x + 0y = -84 -12x = -84 x = 7 Now sub x back into any of the equations: 6(7) - 4y = 54 42 - 4y = 54 4y = - 12 y = -3 so x=7 and y = -3
you know how like on the second thing that you did well what goes in the middle of 6x - 4y
I can just use this and this is correct right??
nothing, I just spaced it so it is kinda in the same line of sight
yes, you can. It's correct.
thank you soo much
wait what proccess is this??
substittution??? haha i spelled it wrong lol
Nope this is elimination. My pleasure
Okay thank you