quick question, will fan and medal
what are the three ways to solve a system of equations? and how can i apply each one?
thank you @cj49
np..
@cj49 how can i "apply" these?
1st one is the substitution method
2x - y = 1 3x - 2y = 5
well i know the methods now but when it says i need to know how to "apply" them, what is it asking?
3x + 2y = 12 6x + 5y = 26 To make elimination work in a situation like this, you need to multiply one of the equations by a constant factor so that you end up in a situation you like better, i.e., with matching coefficients. In this case, we can multiply the first equation by 2 to get 6x + 4y = 24 6x + 5y = 26
Inspection is the easiest method, and it's always a good idea to check to see if you can use it before jumping in with another method. When can you use inspection? It's easiest when one of the variables has the same coefficient in both equations, e.g., 3x + 2y = 12 3x + 5y = 18 To use inspection, you reason this way: "In moving from the first equation to the second, all that changes is that we're adding 3y. On the right side, we add 6. So it must be the case that 3y is the same as 6, which means that y must equal 2." In fact, all you’re really doing here is using elimination, but not bothering to do the formal addition or subtraction of equations. If we write the equations in the opposite order, 3x + 5y = 18 3x + 2y = 12 we can subtract the left sides and the right sides to get (3x+5y) - (3x+2y) = (18) - (12) 3x - 3x + 5y - 2y = 6 3y = 6
application of graphing method http://www.regentsprep.org/regents/math/algebra/ae3/grsys.htm
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