Mathematics
If 3y - 2x = 1 and 3x + 4y = 24, the value of x and y are :
3 and 4
3 and 3
4 and 4
4 and 3
Linear Equations
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Answer
Given,
First equation :
⇒ 3y - 2x = 1
⇒ 2x - 3y + 1 = 0 …………..(1)
Second equation :
⇒ 3x + 4y = 24
⇒ 3x + 4y - 24 = 0 …………….(2)
Multiplying eq. (1) by 3, we get :
⇒ 6x - 9y + 3 = 0 …………….(3)
Multiplying eq. (2) by 2, we get :
⇒ 6x + 8y - 48 = 0 …………….(4)
Subtracting eq. (3) from (4) we get,
⇒ (6x + 8y - 48) - (6x - 9y + 3) = 0 - 0
⇒ 6x + 8y - 48 - 6x + 9y - 3 = 0
⇒ 17y - 51 = 0
⇒ 17y = 51
⇒ y =
⇒ y = 3.
Substituting value of y in eq. (2) we get
⇒ 3x + 4(3) - 24 = 0
⇒ 3x + 12 - 24 = 0
⇒ 3x - 12 = 0
⇒ 3x = 12
⇒ x =
⇒ x = 4
∴ x = 4 and y = 3
Hence, option 4 is the correct option.
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