हिंदी

Complete the activity to find the value of x. 3x + 2y = 11 …(i) and 2x + 3y = 4 …(ii) Solution: Multiply equation (i) by _______ and equation (ii) by _______. □ × (3x + 2y = 11) ∴ 9x + 6y = 33

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प्रश्न

Complete the activity to find the value of x.

3x + 2y = 11   ...(i) and 2x + 3y = 4   ...(ii)

Solution:

Multiply equation (i) by ______ and equation (ii) by ______.

`square` × (3x + 2y = 11)    ∴ 9x + 6y = 33   ...(iii)

`square` × (2x + 3y = 4)      ∴ 4x + 6y = 8   ...(iv)

Subtract (iv) from (iii),

`square` x = 25

∴ x = `square`

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उत्तर

3x + 2y = 11   ...(i) and 2x + 3y = 4   ...(ii)

Multiply equation (i) by \[\boxed{3}\] and equation (ii) by \[\boxed{2}\].

\[\boxed{3}\] × (3x + 2y = 11)    ∴ 9x + 6y = 33   ...(iii)

\[\boxed{2}\] × (2x + 3y = 4)      ∴ 4x + 6y = 8   ...(iv)

Subtract (iv) from (iii),

\[\boxed{5}\]x = 25

∴ x = `25/5`

∴ x = \[\boxed{5}\]

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अध्याय 1: Linear Equations in Two Variables - Q.2 (A)
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