1.
a)
[tex]2t +4 = t - 3 | - 4 \\ 2t = t - 7[/tex]
b)
[tex]1 - 3t = 3 - 4t | + 4t \\ 1 + t = 3[/tex]
c)
[tex]x = \frac{1}{5} x - 3 | - \frac{1}{5} x \\ x- \frac{1}{5} x = - 3[/tex]
d)
[tex] \frac{1}{4} y = 3 + y | - y \\ \frac{1}{4} y - y = 3[/tex]
e)
[tex] \frac{x + 1}{4} = \frac{2x + 1}{2} | \times 4 \\ x + 1 = 4x + 2[/tex]
f)
[tex]3(x - 8) = 6x - 9 | \div 3 \\ x - 8 = 2x - 3[/tex]
g)
[tex]x - \frac{1}{3} x = \frac{1}{6} - 2x | \times 6 \\ x - 2x = 1 - 12x[/tex]
h)
[tex]1 - x = \frac{2x - 3}{5} | \times 5 \\ 5 - 5x = 2x - 3[/tex]
2.
a)
[tex]5x - 1 = \frac{1}{2} (3x - 8) | \times 2 \\ 10x - 2 = 3x - 8 | - 3x \\ 7x - 2 = - 8 | + 2 \\ 7x = - 6 | \div 7 \\ x = - \frac{6}{7} [/tex]
b)
[tex]4( \frac{1}{2}x - 3) = 8 + 12x | \div 4 \\ \frac{1}{2} x - 3 = 2 + 3x | - 3x \\ - 2 \frac{1}{2} x - 3 = 2 | + 3 \\ - \frac{5}{2} x= 5 | \div ( - \frac{5}{2} ) \\ x = - 2[/tex]
