Question

solve linear equation 2x+y=5 and 3x-2y=4 ​

Answer 1

this question answer

Answer 2

$2x + y = 5 \: \: \: .........(1) \\ \\ = > 2x = 5 - y \\ \\ = > x = \frac{5 - y}{2} \\ \\ = > 3x - 2y = 4 \: \: \: \: ..........(2) \\ \\ = > 3( \frac{5 - y}{2} ) - 2y = 4 \\ \\ = > \frac{15 - 3y}{2} - 2y = 4 \\ \\ = > \frac{15 - 3y - 4y}{2} = 4 \\ \\ = > \frac{15 - 7y}{2} = 4 \\ \\ = > 15 - 7y = 4 \times 2 \\ \\ = > 15 - 7y = 8 \\ \\ = > - 7y = 8 - 15 \\ \\ = > - 7y = - 7 \\ \\ = > y = \frac{ - 7}{ - 7} = 1 \\ \\ \\ \\ = > x = \frac{5 - y}{2} \\ \\ = > x = \frac{5 - 1}{2} = \frac{4}{2} = 2 \\ \\ = > x = 2 \\ \\ = > y = 1$

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