| (i) The solution of the equation \[ax+b=0\] is____. |
| (ii) The shifting of a number from one side of an equation to other is _____. |
| (iii) If a and b are positive integers then the solution of the equation \[ax=b\] has to be always _____. |
| (iv) Linear equation in one variable has only one variable with power____. |
A)
(i) (ii) (iii) (iv) \[x=b/a\] Commutativity Positive 1
B)
(i) (ii) (iii) (iv) \[x=-b/a\] Commutativity Negative 2
C)
(i) (ii) (iii) (iv) \[x=b/a\] Transposition Negative 2
D)
(i) (ii) (iii) (iv) \[x=-b/a\] Transposition Positive 1
Correct Answer: D
Solution :
(i) We have, \[ax+b=0\] \[\Rightarrow ax=-b\Rightarrow x=\frac{-b}{a}\] (ii) The shifting of a number from one side of an equation to other is called transposition. (iii) We have, \[ax\text{ }=\text{ }b\] \[\Rightarrow x=\frac{b}{a},\] which is the required solution Given that a and b are positive integers. \[\therefore \] Solution of the equation\[ax=b\]has to be always positive. (iv) Linear equation is of the form \[ax+b=0\]i.e., only one variable with power 1
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