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Solve the equation $3xy+2x-4y=1$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=\frac{1-2x}{3x-4}$
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Step-by-step Solution

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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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Group the terms of the equation

Learn how to solve equations problems step by step online.

$3xy-4y=1-2x$

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Unlock the first 3 steps of this solution

Learn how to solve equations problems step by step online. Solve the equation 3xy+2x-4y=1. Group the terms of the equation. Factor the polynomial 3xy-4y by it's greatest common factor (GCF): y. Divide both sides of the equation by 3x-4. Simplify the fraction \frac{\left(3x-4\right)y}{3x-4} by 3x-4.

Final answer to the problem

$y=\frac{1-2x}{3x-4}$

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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: $3xy+2x-4y-1$

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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
D□x
∫
∫◻
|◻|
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:

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Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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