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Dauzhigit
Nurdaulet
2 iHow to
find
unknown
numbers
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Solving equations is the bread and butter of
mathematics. Adding, subtracting, multiplying
and dividing numbers are necessary elements of
computation, but the real magic lies in being
able to find an unknown number given sufficient
numerical information to carry this out.
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Equations contain
variables, which are letters or
other non-numerical symbols
representing values it is up to
you to determine. The
complexity and depth of
understanding required to
solve equations ranges from
basic arithmetic to higher-
level calculus, but finding the
missing number is the goal
every time.
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The One-Variable Equation
In these problems, you are looking for a
unique solution to a problem. For example:
2x + 8 = 382x+8=38
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The next step is to get the variable by
itself by stripping it of coefficients, which
requires division or multiplication. Here,
divide each side by 2 to get:
x = 15x=15
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The Simple Two-Variable
Equation
In these equations, you
are actually looking not for a
single number but a set of
numbers, that is, a range of
x-values that correspond to a
range of y-values to yield a
solution that is a curve or a
line on a graph not a single
point. For example, given:
y = 6x + 9y=6x+9
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You can start by plugging in x-values of your choice. It is
convenient to start with 0 and work up and then down by units of
1. This gives
y = (6 × 0) + 9 = 9 \\ y = (6 × 1) + 9 = 15 \\ y =
(6 × 2) + 9 =
21y=(6×0)+9=9y=(6×1)+9=15y=(6×2)+9=21
And so on. You can then plot the graph of this equation, or
function, if you wish.
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THANKS FOR YOUR ATTENTION
Сіз үшін 400 000 ұстаздардың еңбегі мен тәжірибесін біріктіріп, ең үлкен материалдар базасын жасадық. Төменде пәніңізді белгілеп, керек материалды алып сабағыңызға қолдана аласыз