Question

Solve the following and find the value of x
$4(m + 3) = 18$
$-2(x + 3) = 8$

Answer 1

★ How to do :-

Here, we are given with two equations with a variable and we are also given with the answer obtained when we solve them. In between the equations some vartables are given. Here, we are going to find the value of x and m. So, here the other concepts are also used while solving. They are transportation of numericals from one side to other. At last, the verification of the equation is also given which makes us to understand it better. So, let's solve!!

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➤ Solution (1) :-

${\tt \leadsto 4(m + 3) = 18}$

${\tt \leadsto 4m + 12 = 18}$

${\tt \leadsto 4m = 18 - 12}$

${\tt \leadsto 4m = 6}$

${\tt \leadsto m = \dfrac{6}{4}}$

${\tt \leadsto \orange{\boxed{\tt m = 1.5}}}$

We have finally found the value of m, so now let's apply the value of m in the place of m and verify the statement.

Verification :-

${\tt \leadsto 4(1.5 + 3) = 18}$

${\tt \leadsto 6 + 12 = 18}$

${\tt \leadsto 18 = 18}$

${\tt \leadsto LHS = RHS}$

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➤ Solution (2) :-

${\tt \leadsto - 2(x + 3) = 8}$

${\tt \leadsto - 2x + (- 6) = 8}$

${\tt \leadsto - 2x - 6 = 8}$

${\tt \leadsto - 2x = 8 + 6}$

${\tt \leadsto - 2x = 14}$

${\tt \leadsto x = \dfrac{14}{( - 2)}}$

${\tt \leadsto \orange{\boxed{\tt x = - 7}}}$

We have finally found the value of x, so now let's apply the value of x in the place of x and verify the statement.

Verification :-

${\tt \leadsto - 2( - 7 + 3) = 8}$

${\tt \leadsto 14 + (- 6) = 8}$

${\tt \leadsto 14 - 6 = 8}$

${\tt \leadsto 8 = 8}$

${\tt \leadsto LHS = RHS}$

Hence solved !!