# 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$

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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,

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

$y=-8$

Updated on 10-Oct-2022 13:33:38