Question

Find the value of x and verify your answer a) x - 5=7-2x. B)3(y-5)= 6

Answer 1

a ) : x - 5 = 7 - 2x


Removing x from both sides :

= > x - x - 5 = 7 - 2x - x

= > - 5 = 7 - 3x


Adding - 7 on both sides :

= > - 5 - 7 = 7 - 7 - 3x

= > - 12 = - 3x


Divide by - 3 on both sides :

= > - 12 / - 3 = - 3x / - 3

= > 4 = x


Then, verifying the value of x by putting it on both sides and then comparing :

Right Hand Side : 7 - 2x = 7 - 2( 4 ) = 7 - 8 = - 1

Left Hand Side : x - 5 = 4 - 5 = - 1


As RHS = LHS, the correct value of x is 4, which is verified.



b ) : 3( y - 5 ) = 6

= > 3y - 15 = 6


Adding 15 to both sides :

= > 3y - 15 + 15 = 6 + 15

= > 3y = 21


Divide by 3 on both sides :

= > 3y / 3 = 21 / 3

= > y = 7


Then, verifying the value of y by putting it on both sides and then comparing :

Left Hand Side : 3( y - 5 ) = 3( 7 - 5 ) = 3( 2 ) = 6

Right Hand Side : 6


As LHS = RHS, the correct value of y is 7.
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Answer 2

Answer:

x - 5 = 7 - 2x

Removing x from both sides :

= > x - x - 5 = 7 - 2x - x

= > - 5 = 7 - 3x

Adding - 7 on both sides :

= > - 5 - 7 = 7 - 7 - 3x

= > - 12 = - 3x

Divide by - 3 on both sides :

= > - 12 / - 3 = - 3x / - 3

= > 4 = x