Question

If 3x - y = 10 and x - 3y = -2 , find the value of x - y . *
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Answer 1

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✪QUESTION✪:-

If 3x - y = 10 and x - 3y = -2 , find the value of x - y . 

✪ANSWER✪:-

(1) ➜3x - y = 10

(2)➜x - 3y = -2

by elimination method ,

(1) ➜3x - y = 10

(2)×3➜3x -9y = -6

__________________

➠ 8y = 16

➠ y = 16/8

➠ $\boxed{\sf{y=2}}$

sub/: y=2 in (1)

➠ 3x - y = 10

➠ 3x -(2)= 10

➠ 3x = 10 + 2

➠ 3x = 12

➠ x = 12/3

➠ $\boxed{\sf{x=4}}$

therefore ,

• x = 4
• y = 2

FIND THE VALUE OF X - Y :

➥x-y = 4-2

➥$\boxed{\sf{x-y= 2}}$

Answer 2

Solution :

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3x - y = 10 -(1)

x - 3y = -2 -(2)

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From (2),

x = -2 + 3y

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Put in (1),

3(-2+3y) - y = 10

-6 + 9y - y = 10

-6 + 8y = 10

8y = 10 + 6

8y = 16

$\sf y = \dfrac{16}{8}$

$\sf y = \dfrac{\cancel{16}^{2}}{\cancel{8}_{1}}$

$\boxed{\sf y = 2}$

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Now, put value of y in (2),

x - 3(2) = -2

x -6 = -2

x = -2 + 6

$\boxed{\sf x = 4}$

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Therefore, value of x = 4 and y = 2