Linear equation 7(v+4)-4v=7

Question

asked Jul 9, 2022 22.7k views

2 Answers

Mohd · Answer 1 · 2022-07-13T12:27:29+0000

⇒7(v + 4) - 4v = 7

⇒7v + 28 - 4v = 7

⇒7v - 4v = 7 - 28

⇒3v = - 21

⇒ v = - 21/3

⇒ v = - 7

As in Question, It was given 7(v - 4) - 4v = 7.. Now first we'll multiply 7 × v & 7 × 4 which in result will be 7v & 28 with addition sign in mid, Equal to 7..

Now, After multiplying terms your second step, will be to combine common terms.. transposing L.H.S to R.H.S & Vice Versa. Remember! Same variables & Same Constant terms can only operated.

After Transposing, according to the variables, your equation will be like.. (7v - 4v = 7 - 28).

Now, You can easily calculate the values but didn't you noticed one thing, that when we transposed 28 to R.H.S.. positive 28 became Negative... i.e. (-28).. Rememember (-) when transposed to any side becomes (+) with the constant & Variable same thing happens with (+), It become (-) after transposing.

Now, After operating.. Again, You need need to transpose constant term 3.. with (v) variable to be leaved in L.H.S.. Remember! The number which are greater that sign exist & Operating is also done... i.e., (7 - 28) in third step became 21 for sure.. Because after substracting 28 by 7 we get 21.. But sign we'll add is (-)... As, 28 is greater then 7 & the sign which is just before 28 is.. (-)...!!