मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ८ वी

The equation given below is followed by the value of the variable. Decide whether this value is the solution to that equation. x − 4 = 3, x = −1, 7,−7 - Marathi (Second Language) [मराठी (द्वितीय भाषा)]

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प्रश्न

The equation given below is followed by the value of the variable. Decide whether this value is the solution to that equation.

x − 4 = 3, x = −1, 7,−7

बेरीज

उत्तर

x − 4 = 3, x = -1, 7,-7

Substituting x = – 1 in L.H.S. of equation (i),

L.H.S. = (-1) – 4 = – 5

R.H.S. = 3

∴ L.H.S. ≠ R.H.S.

∴ x = – 1 is not the solution of the given equation.

Substituting x = 7 in L.H.S. of equation (i),

L.H.S. = (7) –  4 = 3

R.H.S. = 3

∴ L.H.S. = R.H.S.

∴ x = 7 is the solution of the given equation.

Substituting x = – 7 in L.H.S. of equation (i),

L.H.S. = (–7) – 4 = –11

R.H.S. = 3

∴ L.H.S. ≠ R.H.S.

∴ x = –7 is not the solution of the given equation.

Hence, x = 7 is the solution of the equation.

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Solution of Equations in One Variable
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Equations in one variable - Practice Set 12.1 [पृष्ठ ७७]

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