Question

ery Short Answer Type Questions : If (a - 3, a + 4) is a solution of the equation 2x – 3y = 5, then find the value of a.​

Answer 1

SOLUTION

GIVEN

(a - 3, a + 4) is a solution of the equation 2x – 3y = 5,

TO DETERMINE

The value of a

EVALUATION

Here it is given that (a - 3, a + 4) is a solution of the equation 2x – 3y = 5

So by the given condition

$\sf{2(a - 3) - 3(a + 4) = 5}$

$\sf{ \implies \: 2a - 6- 3a - 12= 5}$

$\sf{ \implies \: - a - 18= 5}$

$\sf{ \implies \: - a = 23}$

$\sf{ \implies \: a = - 23}$

FINAL ANSWER

Hence the required value of a = - 23

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Answer 2

Given : (a-3, a+4) is a solution the equation 2x - 3y = 5,

To find : value of a

Solution:

(a-3, a+4) is a solution the equation 2x - 3y = 5

Substitute x = a - 3  and y = a + 4 in the equation  2x - 3y = 5

2(a - 3) - 3(a + 4)  =  5

=> 2a - 6  - 3a  - 12 = 5

=> - a  - 18  = 5

=> -a  = 5 + 18

=> -a = 23

=> a = - 23

Value of a is - 23

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