Question

find the value of a and b for which the following pair of linear equations have infinitely many solutions
4x + 5y = 2 and (2p + 7q)x + (p + 8q)y = 2q - p + 1
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Answer 1

Answer:

For which the values of p and q will the following pair of linear equations have infinitely many solutions 4x+5y=2, (2p+7q)x+(p+8q)y=2q-p+1

Step-by-step explanation:

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Answer 2

○4x + 5y = 2

a=4 , b = 5 , c = 2

○(2p + 7q)x + (p + 8q)y = 2q - p + 1

A = 2p + 7q , B = p + 8q , C = 2q -p + 1

condition for infinite solutions:

a/A = b/B = c/C

Now :

4 / 2p + 7q = 5/p + 8q , 2/ 2q - p +1

first solve a/A = b/B

then solve b/B = c/C

Now :

we will get

2p + q = 0

and

7p + 6q = 5

now solve the two linear equations by elimination method

we will get the value of

p = -1

and

q = 2

hope it helped you