Required solution :
Here we have been provided with two equations,
- 2x + 3y = 0 (Equation No 1)
- 8x + 9y = 18 (Equation No 2)
★ In the first equation :
⇒ 2x = 0 - 3y
⇒ 2x = - 3y
⇒ x = - 3y / 2
★ In second equation :
Here we would be substituting the value of x which we got above. And the method which we are using is substitution.
⇒ 8 (-3y/2) + 9y = 18
⇒ (8 × -3y / 2) + 9y = 18
⇒ (-24y / 2) + 9y = 18
⇒ -24y + 18y / 2 = 18
⇒ -6y / 2 = 18
⇒ -3y = 18
⇒ -y = 18 / 3
⇒ -y = 6
⇒ y = -6
Therefore, value of y is -6..!!
★ Finding out value of x :
⇒ x = - 3y / 2
Now, here let us substitute the value of y which we got above as -6 here.
⇒ x = -3 (-6) / 2
⇒ x = -3 × -6 / 2
⇒ x = 18 / 2
⇒ x = 9
Therefore, value of x is 9..!!