Question

pair of liner equation in two variable ax+by=a+b/2and 3x+5y=4 .find the solution.
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Answer 1

Step-by-step explanation:

ax+by=a+b/2 .......... (1)

3x+5y=5 .......... (2)

multiple (1) by 5,

5ax+5by=5(a+b)/2 ..... (3)

Multiple (2) by b,

3by+5by =4b ....... (4)

Subtracting (4) from (3) we get,

X(5a-3b)=5a+5b-8b/2

X(5a-3b)=5a+3b/2

X=1/2

from ... (2)

3x+5y=5

5y=4-3(1/2)

5y=4-3/2

Y=1/2

So the value of x=1/2 and y =1/2