Question

a) 2 x + 1 = 4 x V = {2} b) 8 − 5 x = 3 x V = {1} c) 10 x – 3 = 5 2 V ={ 20 11} d) 1 x + 1 2 = 5 x V = {8} e) 1 x + 3 4 = 5 2x V = {2} f) 7 2x + 3 = 8 x V ={ 3 2 } g) x − 2 x = 2 7 V ={ 14 5 } h) 3x − 1 x = 5 3 V = { 3 4 }

Answer 1

a) 2 x + 1 = 4 x V = {2}

2x + 1 = 2

4x v = 2

x = $\frac{1}{2}$

4x v = 2

4 x $\frac{1}{2}$ v = 2

v = 1

2 x $\frac{1}{2}$ + 1 = 4 x $\frac{1}{2}$ x 1 = 2

2 = 2 = 2

(v,x) = ( 1,$\frac{1}{2}$ )

b) 8 − 5 x = 3 x V = {1}

8 - 5x 3x v = 1

3xV = 1

x = $\frac{7}{5}$ v = 1

3 x $\frac{7}{5}$ v = 1

v = $\frac{5}{21}$

(v,x) = ($\frac{5}{21} \frac{7}{5}$)

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