1/3x-1/4y+1=0 ; 1/5x+1/2y=4/5

Asked by Shripantvijay | 11th Mar, 2020, 05:04: PM

Expert Answer:

To solve: 1/3x - 1/4y = -1  and 1/5x + 1/2y = 4/5 simultaneously
fraction numerator 1 over denominator 3 x end fraction minus fraction numerator 1 over denominator 4 y end fraction equals negative 1 space... space left parenthesis i right parenthesis
fraction numerator 1 over denominator 5 x end fraction plus fraction numerator 1 over denominator 2 y end fraction equals 4 over 5 space... space left parenthesis i i right parenthesis
M u l t i p l y i n g space left parenthesis i i right parenthesis space w i t h space 1 half comma space w e space h a v e
fraction numerator 1 over denominator 10 x end fraction plus fraction numerator 1 over denominator 4 y end fraction equals 2 over 5 space... space left parenthesis i i i right parenthesis
A d d i n g space space left parenthesis i right parenthesis space space a n d space space left parenthesis i i i right parenthesis comma space w e space h a v e
fraction numerator 1 over denominator 3 x end fraction plus fraction numerator 1 over denominator 10 x end fraction equals negative 1 plus 2 over 5 equals negative 3 over 5
rightwards double arrow x equals fraction numerator 13 cross times 5 over denominator 30 cross times left parenthesis negative 3 right parenthesis end fraction equals negative 13 over 18
S u b s t i t t i n g space i n space left parenthesis i right parenthesis comma space w e space h a v e
y equals 28 over 13

Answered by Renu Varma | 12th Mar, 2020, 01:05: PM