Solve: 2x/a +y/b=2 and x/a-y/b=4

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2x/a +y/b=2 and x/a-y/b=4 Solve by Substitution Method [ML Aggarwal Class 9 Chapter 5 Exercise-5.1 Question Number 4(ii) Simultaneous Linear Equations Step by Step Solution in English]

$\frac{2x}{a} + \frac{y}{b}$ = 2 —-(i)

$\frac{x}{a} – \frac{y}{b}$ = 4 —–(ii)

Adding Equation (i) and (ii) we get,

$\frac{2x}{a} + \frac{y}{b}$ +$\frac{x}{a} – \frac{y}{b}$ =2+4

⟹ $\frac{3x}{a}$ =6

⟹ 3x = 6a

⟹ x=$\frac{6a}{3}$

⟹ x=2a

Now Substituting the value of x in equation (ii) we get,

$\frac{(2a)}{a} – \frac{y}{b}$ = 4

$\Rightarrow 2 – \frac{y}{b}$ = 4

$\Rightarrow 2 – 4$ = $\frac{y}{b}$

$\Rightarrow – 2$ = $\frac{y}{b}$

⟹ -2b =y

⟹ y=-2b

Therefore Required Solutions are x=2a and y=-2b .

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