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# Solve the rational equation $\frac{5}{x-7}=\frac{2}{x-2}$

## Step-by-step Solution

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###  Videos

$x=\frac{4}{-3}$
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##  Step-by-step Solution 

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Inverting the equation

$\frac{x-7}{5}=\frac{x-2}{2}$

Learn how to solve rational equations problems step by step online.

$\frac{x-7}{5}=\frac{x-2}{2}$

Learn how to solve rational equations problems step by step online. Solve the rational equation 5/(x-7)=2/(x-2). Inverting the equation. Apply fraction cross-multiplication. Solve the product 2\left(x-7\right). Solve the product 5\left(x-2\right).

$x=\frac{4}{-3}$

$x=-1.3333$

##  Explore different ways to solve this problem

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

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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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

### Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

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