Question

solve the following equation by using the method of substitution
2x/a +y/b =2
X/a - y/b =4​

Answer 1

Answer:

x = 4a/3 , y = -2b/3

Step-by-step explanation:

1). 2x/a + y/b = 2

2). x/a - y/b = 4

multiplying above equations by ab

new equations :-

1). 2xb + ya = 2ab

2). xb - ya = 4ab

from equation 1

2xb = 2ab - ya

$x = \frac{2ab - ay}{2b}$

substituting this value in equation 2

$(\frac{2ab - ay}{2b} )b - ya = 4ab$

multiplying both sides by 2

2ab-ay-2ay= 4ab

-3ay=2ab

y = -2b/3

and

$x = \frac{2ab - a( \frac{ - 2b}{3}) }{2b}$

x= ( 2ab + (2ab)/3 )/2b

x= 4a/3

Answer 2

Step-by-step explanation:

see the Attachment

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