Question

Solve the following equation by the transposing method and check your answer

3( − 3) + 4( − 2) = 4


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Answer 1

Given:

• Check weather L.H.S = R.H.S

To Find:

• transposing the given equation and checking the answer

Solution:

$\purple{ \underline{ \mathfrak{ \dag \: Given \: equation : }}}$

❖ 3( − 3) + 4( − 2) = 4

→ Now, let's start the transposition of the numbers from the right hand side to the left hand side of the equation

$\large \blue{ \bull} \: { \sf{ \underline {\pink{transposition \: method}}}}$

◕ Definition :

• The  transposition method where you transpose the number or the variables by changing their sign from one side to another. and when the equation is complicated we simplify the terms and then transpose it

◕ Rules :

• The Following example explains the rule: A + B = C make A the subject of the formula. The = sign is the fulcrum (balance point) of the equation. To keep the system in balance one has to add, subtract, multiply, divide, the same amount on both side of the equation.

 ✦ let's start:

$\longrightarrow \sf \: 3( - 3) + 4( - 2) = 4$

➳ here as the equation has brackets in it so, let's first multiply the terms and then transpose them

$\longrightarrow \sf - 9 +( - 8 )= 4 \\ \\ \\ \longrightarrow \sf -9 - 8 = 4 \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf - 9 = 4 + 8 \: \: \: \: \\ \\ \\ \orange{\longrightarrow \bf - 9 \neq16 \bigstar} \: \: \: \: \:$

➳ now, as the left hand side equals-9 and the right hand side equals 16 so, left hand side is not equal to the right hand side.

∴ the given equation is incorrect

More to know:

${ \large{ \underline{ \rm{ elimination \: method : }}}}$

• elimination method is where you actually eliminate one of the variables by adding the two equations

${ \large{ \underline{ \rm{ substitution \: method : }}}}$

• The substitution method is themethod to solve simultaneous linear equations. in this method, the value of one variable from one equation is substituted in the other equation