Question

Solve the following equation and verify your result.
››–→ 0.6(1.5n + 1.2) = 0.8(0.3n – 0.35)

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Answer 1

Answer:

n=1.5151

Step-by-step explanation:

0.6(1.5n + 1.2) = 0.8(0.3n – 0.35)

=>0.6×1.5n+0.6×1.2=0.8×0.4n-0.6×0.35

=> 0.9n+0.72=0.24n -0.28

=> 0.9n-0.24n=-0.28-0.73

=> 0.66n=-1

=>n=1/0.66

=> n=1.5151

Answer 2

Answer:

EXPLANATION :

Given:

0.6(1.5n + 1.2) = 0.8(0.3n – 0.35)

• Solve the following equation
• verify your result.

__________

SOLUTION:

0.6(1.5n + 1.2) = 0.8(0.3n – 0.35)

» 0.90n + 0.72 = 0.24n – 0.280

» 0.90n – 0.24 = – 0.280 – 0.72

» 0.66n = – 1.00

» n = $\frac{-1}{0.66}$

or

$\:\frac{-100}{66}\:=\:\frac{-50}{33}$

Verification:

LHS

$=\:0.6\:[1.5(\frac{-50}{33})\:+\:1.2]$

$=\:0.6[\frac{750}{33}\:+\:\frac{1.2}{10}]$

$=\:\frac{6}{10}[\frac{750\:+\:396}{330}]$

$=\:\frac{6}{10}\:×\:\frac{-354}{330}$

$=\:\frac{177}{275}$

______________

RHS

$=\:0.8[0.3(\frac{-50}{33})\:-\:0.35]$

$=\:0.8[\frac{1.50}{33}]$

$=\:0.8[\frac{1500\:-\:115}{3300}]$

$=\:\frac{8}{10}\:×\:\frac{2655}{3300}$

$=\:\frac{177}{275}$

.°. LHS = RHS

Hence, verified