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i)1-2(2x+1)=1-(x-1)
ii)3.6x-6.1=5.9_2.4x
question from equation and inequality​

Sagot :

MrRoyal

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]

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