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Solve the equation $2x+3y=1$

Step-by-step Solution

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Final answer to the problem

$y=\frac{1-2x}{3}$
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Step-by-step Solution

How should I solve this problem?

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  • Solve for x
  • Solve for y
  • Find the derivative
  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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1

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $2x$ from both sides of the equation

$3y=1-2x$

Learn how to solve two-variable linear equations problems step by step online.

$3y=1-2x$

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Learn how to solve two-variable linear equations problems step by step online. Solve the equation 2x+3y=1. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 2x from both sides of the equation. Divide both sides of the equation by 3. Simplifying the quotients.

Final answer to the problem

$y=\frac{1-2x}{3}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $2x+3y-1$

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Answer Assistant

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Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Two-variable linear equations

Algebraic equations that have two distinct variables.

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