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By equating coefficients of variables, solve the following equations. 3x - 4y = 7; 5x + 2y = 3 - Algebra

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प्रश्न

By equating coefficients of variables, solve the following equations.

3x - 4y = 7; 5x + 2y = 3

योग

उत्तर

3x - 4y = 7    ...(I)

5x + 2y  = 3   ...(II)

Multiply (II) with 2

10x + 4y  = 6     ...(III)

Adding (I) and (III)

3x - 4y = 7
10x + 4y  = 6 
13x = 13

⇒ x = 1

Putting the value of x in (I) we get

∴ 3x - 4y = 7

⇒ 3 × 1 - 4y = 7

⇒ 3 - 4y = 7

⇒ y = -1

Thus, x = 1 and y = -1

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अध्याय 5: Linear Equations in Two Variables - Problem Set 5 [पृष्ठ ९१]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
अध्याय 5 Linear Equations in Two Variables
Problem Set 5 | Q (3) (i) | पृष्ठ ९१
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