I need to know all the stuff included in "solving equations by multiplying or dividing by decimals", i have a pretty good idea, but not good enough and no other site has been helpful. Please help!!! quickly too, please.
bad at math.
I need to know all the stuff included in "solving equations by multiplying or dividing by decimals", i have a pretty good idea, but not good enough and no other site has been helpful. Please help!!! quickly too, please.
bad at math.
ok, when we say "solve (an equation) for x" it means we want you to get x by itself on one side of the equation, that is, you should end up with "x = something"
now when we have a coefficient of x (that's the number in front of x) all we do (whether we have decimals or whole numbers) is divided both sides of the equation by the coefficient of x. that way, the coefficient of x will cancel with the number we divided by (since any number divided by itself is 1) and we would end up with 1x = soemthing, but 1x is just x. so here we go:
$\displaystyle 3.4x = 5.6$
$\displaystyle \Rightarrow \frac {3.4x}{3.4} = \frac {5.6}{3.4}$
$\displaystyle \Rightarrow \frac {1x}{1} = \frac {5.6}{3.4}$ ....it is not necessary to write this step, i just wanted to show you how the numbers cancel. now we have 1x/1, which is just x, on one side, just what we wanted, now just calculate the other side
$\displaystyle \Rightarrow x = 1.647$ to three decimal places
if someone else already did it, why are you doing it. what way did the girl do it? there is not much room for creativity here i'm afraid, there are only so many ways you could solve something like this. tell me what specifically you are looking for (or what you are specifically NOT looking for)
you could multiply by some multiple of 10 to turn it into a whole number equation.
$\displaystyle 3.4x = 5.6$ .......now multiply both sides by ten
$\displaystyle \Rightarrow 10(3.4x) = 10(5.6)$
$\displaystyle 34x = 56$ .....now this is an equation with whole numbers
$\displaystyle \Rightarrow \frac {34x}{34} = \frac {56}{36}$
$\displaystyle \Rightarrow x = 1.647$