Question

linear equation 3x-y=2;x+2y=10​

Answer 1

Answer:

$x = 2 \: \: \: and \: \: \: y = 4$

Step-by-step explanation:

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$3x-y=2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1)$

$x+2y=10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)$

Multiplying equation 1st with 2 and 2nd with 1

$6x - \not2y = 4 \\ x + \not2y = 10 \\ \underline{ - \: \: \: \: \: - \: \: \: \: \: - } \\ \boxed{7x = 14}$

$x = \frac{14}{7}$

$\boxed{x = 2} \: \: \: \: \: \: \: \leftarrow(1)$

Now put the value of x in equation 2

$2 + 2y = 10$

$2y = 10 - 2$

$2y = 8$

$y = \frac{8}{2}$

$\boxed{y = 4} \: \: \: \: \: \: \: \: \: \: \: \: \leftarrow(2)$

From 1st and 2nd values of x and y are 2 and 4 respectively.