Question

2x/a+yb/b=2
x/a-y/b=4,a≠0,b≠0
find the x value and find the y value by cross -multiplication method

Answer 1

The equations are:
$\frac{2x}{a} + \frac{y}{b} = 2$      ...................(1)

$\frac{x}{a} - \frac{y}{b} = 4$        .....................(2)

Since the coefficients of y are same in both equation with opposite signs, add them.
We get,

3x/a= 6
⇒x = 6a/3
⇒x = 2a 

Put the value of x in equation(1)
$\frac{2(2a)}{a} + \frac{y}{b} = 2 \\ 4 + \frac{y}{b} = 2 \\ \frac{y}{b} = 2-4 =-2 \\ y = -2b$

Answer 2

Answer:

Step-by-step explanation:

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