If 2x + 3y = 29 and y = x + 3, what is the value of x ?

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If 2x + 3y = 29 and y = x + 3, what is the value of x ?

1. 4
2. 5
3. 6
4. 7

Correct Option: A

2x + 3y = 29 ...(i)
and y = x + 3 ...(ii)
Putting the value of y from Eq. (ii) to Eq. (i), we get
2x + 3y = 29
2x + 3(x + 3) = 29
2x + 3x + 9 = 29
⇒ 5x = 20
∴ x = 4