Question

2х +3y = 0
3х + 4y = 5​

Answer 1

$\huge{\pink{given : } \: } \\ \\ 2x + 3y = 0 \ \ \\ \\ 3x + 4y = 5 \: \\ \\ \huge{\green{to \: \: \: find : \: } </p><p>}</p><p> \\ \\ x \: \: \: \: and \: \: \: \: y \\ \\ </p><p>\huge{\blue{solution : }</p><p>} \\ \\ 2x + 3y = 0 \: \: \: \: \: \: \: \: \: ......(1) \\ \\ 3x + 4y = 5 \: \: \: \: \: \: \: \: \: \: \: ..........(2) \\ \\ \pink{multiplying \: \: eq. \: (1) \: \: by \: \: 3 \: \: and \: \: eq .(2) \: \: by \: \: 2} \\ \\ hence \\ \\ 6x + 9y = 0 \\ \\ 6x + 8y = 10 \\ \\ </p><p>\red{subtracting \: \: this \: \: \: eq.} \\ \\ 6x + 9y - 6x - 8y = - 10 \\ \\ y = - 10 \\ \\ </p><p>\blue{hence} \\ \\ </p><p>6x + 9y = 0 \\ \\6x + 9( - 10) = 0 \\ \\ 6x - 90 = 0 \\ \\ 6x = 90 \\ \\ x = \frac{90}{6} \\ \\ x = 15 \\ \\ \blue{hence} \\ \\ </p><p>\green{y = - 10 \: \: \: \: x = 15}</p><p>$

Answer 2

Answer:

$6x - 90 = 0 \\ \\ 6x = 90 \\ \\ x = \frac{90}{6} \\ \\ x = 15$

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