Question

check whether 2, 3 is a solution of the equation 7 x - 3 y = 2 and (a, a+1) is a solution of the equation then find a and b .​

Answer 1

Answer:

Checking whether ( 2,3 ) is the solution:

⇒ Eqn: 7x - 3y = 2

Substituting x = 2 and y = 3 we get,

⇒ 7 ( 2 ) - 3 ( 3 ) = 2

⇒ 14 - 9 = 2

⇒ 5 = 2 which is not true.

Therefore 2,3 is not a solution of the equation 7x - 3y = 2

Finding 'a' if ( a, a+1 ) is the solution of the equation.

⇒ 7 ( a ) - 3 ( a + 1 ) = 2

⇒ 7a - 3a - 3 = 2

⇒ 4a - 3 = 2

⇒ 4a = 2 + 3

⇒ 4a = 5

⇒ a = 5/4

Therefore value of 'a' is 5/4

Hope it helped !!

Answer 2

$\huge{\underline{\red{\bf{Answer:-}}}}$

To check 2,3 is a solution put

➭ x = 2

➭ y = 3

_______________[Put Values]

7x - 3y = 2

7(2) - 3(3) = 2

⇒ 14 - 9 = 2

⇒ 5 ≠ 2

Hence, 2 and 3 are not solutions.

___________________________

Now put (a, a + 1)

7(a) - 3(a + 1) = 2

⇒ 7a - 3a - 3 = 2

⇒ 7a - 3a - 3 = 2

⇒ 7a - 3a = 2 + 3

⇒ 4a = 5

$\huge{\bf{a \: = \: {\frac{5}{4}}}}$