Question

If the pair of linear equations in two variables 2x+3y=4, 2ax+(a+b)y=28 are consistent and dependent then prove that b=2a

Answer 1

Step-by-step explanation:

hey there!!!!!

if the pair is consiaitent then,

in

2x+3y=4,2ax+(a+b)y=28

2/2a=4/28

2×28=4×2a

8a=56

a=7

now,

3/a+b=4/28

84=4(a+b)

a+b=21

7+b=21

b=14

if,

a=7 and b=2×7

then b=2a