Give first the step you will use to separate the variable and then solve the equation:
$(a).\ x-1=0$
$(b).\ x+1=0$
$(c).\ x-1=5$
$(d).\ x+6=2$
$(e).\ y-4=-7$
$(f).\ y-4=4$
$(g).\ y+4=4$
$(h).\ y+4=-4$

To do:

We have to give first the step we will use to separate the variable and then solve the equation.

Solution:

(a) $x-1=0$

Adding 1 to both sides of the equation we get,

$x-1+1=0+1$

$x=1$

(b) $x+1=0$

Subtracting 1 from both sides of the equation we get,

$x+1-1=0-1$

$x=-1$

(c) $x-1=5$

Adding 1 to both sides of the equation we get,

$x-1+1=5+1$

$x=6$

(d) $x+6=2$

Subtracting 6 from both sides of the equation we get,

$x+6-6=2-6$

$x=-4$

(e) $y-4=-7$

Adding 4 to both sides of the equation we get,

$y-4+4=-7+4$

$y=-3$

(f) $y-4=4$

Adding 4 to both sides of the equation we get,

$y-4+4=4+4$

$y=8$

(g) $y+4=4$

Subtracting 4 from both sides of the equation we get,

$y+4-4=4-4$

$y=0$

(h) $y+4=-4$

Subtracting 4 from both sides of the equation we get,

$y+4-4=-4-4$

$y=-8$

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Updated on: 10-Oct-2022

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