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64x - 45y = 289 and …

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64x - 45y = 289 and 45x - 64y = 365 , solve this linear equation in two variables .

Posted by Siona Dalmet 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Yadu Raj 5 years, 3 months ago

64x-45y=289 x=289+45y/64......let this be equation 1 Similarly in the second equation 45x-64y=365 x=365+64y/45.......let this be equation 2 From eq 1&2 289+45y/64=365+64y/45 Now by cross multiplication 45(289+45y)=64(365+64y) Simplifying...... 13005+2025y=23360 +4096y Taking LHS to RHS .....we get 2071y=-10355 y=-10355/2071 y=-5 By substituting y in eq 1..... 64x -45 × (-5)=289 64x +225=289 64x=289-225 64x=64 Thefore x=1.......hence x=1 y= -5

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CBSE > Class 10 > Mathematics