Solve each of the following equations and also check your results in each case:

(xvi) $0.18 (5 x - 4) = 0.5 x + 0.8$

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Solution

Given: $0.18 (5 x - 4) = 0.5 x + 0.8$

$0.18 (5 x - 4) - 0.5 x = 0.8$

$0.90 x - 0.72 - 0.5 x = 0.8$

$0.90 x - 0.5 x = 0.8 + 0.72$

$0.40 x = 1.52$

$x = \frac{1.52}{0.40}$

$∴ x = 3.8$

To check $0.18 (5 x - 4) = 0.5 x + 0.8 f o r x = 3.8$

L.H.S. = 0.18(5x-4)
=0.18[5(3.8)-4]
=0.18(19-4)
= 2.7

R.H.S. = 0.5x + 0.8
= 0.5(3.8) + 0.8
= 1.9 + 0.8
= 2.7
$∴$ L.H.S. = R.H.S.

Hence, the given equation is verified for x = 3.8.

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