Question

Q3 (A) Solve the following questions,
1. Find the value of x and y if
2x + 3y = 7
x + 3y = 8​

Answer 1

Answer :-

• Value of x and y are - 1 and 3 respectively.

Given :-

• Two equations 2x + 3y = 7 and x + 3y = 8

To Find :-

• Value of x and y.

Solution :-

Here

• 2x + 3y = 7 ...i)
• x + 3y = 8 ...ii)

Subtract eq ii) from i)

Now

⇒ 2x + 3y - (x + 3y) = 7 - 8

⇒ 2x + 3y - x - 3y = 7 - 8

⇒ 2x - x = 7 - 8

⇒ x = 7 - 8

⇒ x = - 1

Put the value of x in eq ii)

⇒ x + 3y = 8

⇒ - 1 + 3y = 8

⇒ 3y = 8 + 1

⇒ 3y = 9

⇒ y = 9/3

⇒ y = 3

Hence, the value of x and y are - 1 and 3 respectively.