Question

Find the solution of this equation :

1) 3(a -5) = 5(a -9)
2) 4y - 3 = 7y + 6

Answer 1

Hope it helps you!....

Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Question - 1)

$\huge{\bold{3(a-5) =5(a - 9)}}$

$\implies \bold{3a - 15 = 5a -45}$

$\implies \bold{3a = 5a - 45 +15}$

$\implies \bold{3a -5a = -45 +15 }$

$\implies \bold{-2a = -30}$

$\implies \bold{a = \frac{-30}{-2}}$

$\implies \boxed{\bold{ a = 15}}$

Question - 2)

$\huge{\bold{4y - 3 = 7y + 6}}$

$\implies \bold{4y = 7y +6 - 3}$

$\implies \bold{4y - 7y = 9 }$

$\implies \bold{-3y = 9}$

$\implies \bold{y = \frac{9}{-3}}$

$\implies \boxed{\bold{y = -3}}$

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How to solve a Linear Equation :

• Solving any linear equation is the process of finding the value of the variable that satisfies the given Equation.
• There are two methods of solving a linear Equation :

1) Systematic Method

2) Transposition Method

1 Systematic Method :

⇒In this method , we perform the same mathematical operations like addition , subtraction etc on both side of equation (LHS and RHS).

2) Transposition Method :

⇒In this process , taking any term of an equation from one side to another and changing its sign is Called transposition Method .

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