Question

(vi) 2x - 7y = 7; 3x + y = 22​

Answer 1

✿solution✿☘️

$2x - 7y = 7 - - - (i) \\ 3x + y = 22 - - - (ii)$

equation (ii)×7

$2x - 7y = 7 \\ 21x + 7y = 154$

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33x=161

$x = \frac{161}{33}$

$x = \frac{161}{33} \: put \: in \: equation \: (i) \\ \\ 2x - 7y = 7 \\ 2 \times \frac{161}{33} - 7y = 7 \\ \\ \frac{321}{33} - 7y = 7 \\ \\ - 7y = 7 - \frac{321}{33} \\ </p><p>[tex] - 7y = \frac{231 - 161}{33} \\ \\ - 7y = \frac{70}{33} \\ \\ y = \frac{ - 70}{33 \times 7} \\ \\ y = \frac{ - 10}{33}$

Answer 2

Answer:

2x −7y = 7 .....(I)

3x + y = 22 .....(II)

Multiply (II) with 7

21x + 7y = 154 .....(III)

(I) + (III)

23x = 161

x = 7, y = 1