Correct Answer - Option 1 : 4
Given:
2x + 3y = 36 and x + y = 8
Calculations:
According to the question, we have
2x + 3y = 36 ---(1)
x + y = 8 ---(2)
Multiply the equation (2) by 2 and subtract from the equation (1), we get
⇒ 2x + 3y - 2(x + y) = 36 - 2(8)
⇒ 2x + 3y - 2x - 2y = 36 - 16
⇒ 2x - 2x + 3y - 2y = 20
⇒ y = 20
Put the value of y = 20 in equation (2), we get
⇒ x + 20 = 8
⇒ x = 8 - 20
⇒ x = -12
So, the value of 2y + 3x is
⇒ 2 × 20 + 3(-12)
⇒ 40 - 36
⇒ 4
∴ The value of 2y + 3x is 4.
