Answer:
1.. [tex]x = -1[/tex]
2.. [tex]x =2[/tex]
Explanation:
Given
[tex]i).\ 1-2(2x+1)=1-(x-1)[/tex]
[tex]ii).\ 3.6x-6.1=5.9-2.4x[/tex]
Solving (i):
[tex]1-2(2x+1)=1-(x-1)[/tex]
Subtract 1 from both sides
[tex]1-1-2(2x+1)=1-1-(x-1)[/tex]
[tex]-2(2x+1)=-(x-1)[/tex]
Open brackets
[tex]-4x -2 = -x + 1[/tex]
Collect Like Terms
[tex]x - 4x =2+1[/tex]
[tex]-3x = 3[/tex]
Divide both sides by -3
[tex]x = \frac{3}{-3}[/tex]
[tex]x = -1[/tex]
Solving (ii):
[tex]3.6x-6.1=5.9-2.4x[/tex]
Collect Like Terms
[tex]2.4x+3.6x=5.9+6.1[/tex]
[tex]6x=12[/tex]
Divide both sides by 6
[tex]x = \frac{12}{6}[/tex]
[tex]x =2[/tex]
