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X+y=5 and 2x-3y=4

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X+y=5 and 2x-3y=4

Posted by Satyajeet Swain 5 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Sambhav Maheshwari 5 years, 11 months ago

X+y=5 (1) 2x-3y=4. (2) Eq(1) multiply by 2 2x+2y=10 (3) From eq(3) and eq(1) 2x+2y=10. (3) 2x-3y=4. (1) (-) (+) (-) ................................ 5y=6 y=6/5 Put the value of y in eq(1) X+6/5=5 X=5-6/5 X=25-6/5 X=19/5 (x=19/5, y=6/5 ) ans

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Yogita Ingle 5 years, 11 months ago

X + y = 5 ( equation 1 )
2x - 3y = 4 ( equation 2 )
Now,
multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 )
(2x + 2y = 10) - (2x - 3y = 4 )
=> 2x + 2y - 2x + 3y = 6
=> 5y = 6
=> y = 6/5
Putting the value of y in ( eq.1 )
=> x+ y = 5
=> x + 6/5 = 5
=> x = 5 - 6/5
=> x = 19/5

0Thank You

Piyush Yadav 5 years, 11 months ago

X:13/5 y: 6/5

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CBSE > Class 10 > Mathematics