Question

2x - 3y = 9 ; 6x + 3y = 39 ; Find the values of x & y. ​

Answer 1

Step-by-step explanation:

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Answer 2

AnsWer :

• x = 6.
• y = 1.

SolutioN :

We have, Pair of Linear Equation,

$\tt \dagger \: \: \: \: \: 2x - 3y = 9. \: \: \: \: \: - (1)$

$\tt \dagger \: \: \: \: \: 6x + 3y = 39. \: \: \: \: \: - (2)$

Now, Adding Equation ( 1 ) & ( 2 ) We get.

2x - 3y = 9.

6x + 3y = 39.

__________

8x = 48.

__________

$\tt : \implies 8x = 48.$

$\tt : \implies x = \dfrac{ 48}{8}.$

$\tt : \implies x =6.$

Now, Putting the value of X in Equation ( 1 ) We get.

$\tt : \implies 2x - 3y = 9.$

$\tt : \implies 2(6) - 3y = 9.$

$\tt : \implies 12 - 3y = 9.$

$\tt : \implies - 3y = 9 - 12.$

$\tt : \implies - 3y = - 3.$

$\tt : \implies y = 1.$

Therefore, the value of x = 6 and y = 1.

Some More MethoD :

• Substitution method.
• Elimination method.
• Cross multiplication method.