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Solve each of the following equations and also verify your solutions:
= −39/4
Hence, L.H.S = R.H.S
= 9/6
= 3/2
0.18(5x – 4) = 0.5x + 0.8
=> 0.9x – 0.72 = 0.5x + 08
=> 0.9x – 0.5x = 0.8 + 0.72
=> 0.4x = 1.52
=> x = 1.52/0.4
= 3.8
Verification
L.H.S = 0.18(5(3.8) – 4)
= 0.18 × 15
= 2.7
R.H.S = 0.5(3.8) + 0.8
R.H.S = 1/12
= 3.3
(3x – 8) (3x + 2) – (4x – 11) (2x + 1) = (x – 3) (x + 7)
=> 9x2 + 6x – 24x – 16 – 8x2 – 4x + 22x + 11 = x2 + 7x – 3x – 21
=> x2 – 5 = x2 + 4x – 21
=> 4x = 21 – 5
=> 4x = 16
=> x = 164
= 4
L.H.S = (3(4) – 8) (3(4) + 2) – (4(4) – 11) (2(4) + 1)
= 4(16) – 5(9)
= 11
R.H.S = (4 – 3) (4 + 7)
[(2x + 3) + (x + 5)]2 + [(2x + 3) – (x + 5)]2 = 10x2 + 92
=> (3x + 8)2 + (x – 2)2 = 10x2 + 92
=> 9x2 + 48x + 64x + x2 – 4x + 4 = 10x2 + 92
=>10x2 – 10x2 + 44x = 92 – 68
=> 44x = 24
=> x = 24/44
=> x = 6/11
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Chapter 9: Linear Equation in One Variable...