Question

by substitution Method
3x-5y=4
9x=2y+7

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Answer 1

3x-5y=4 ----------(1)

9x-2y=7 -----------(2)

from equation (1)

x=( 4+5y)/3

substitute x=(4+5y)/3 in equation (2)

9(4+5y)/3-2y=7

12+15y-2y=7

12+13y=7

13y=7-12

13y=-5

y=-5/13 ----------(3)

substitute -5/13 in equation (1)

3x-5(-5/13)=4

3x+25/13=4

(39x+25)/13=4

39x+25=52

39x=52-25

39x=27

x=27/39=9/13 -------------(4)

therefore,

from equation (3) and (4) we get x=9/13 and y=-5/13

i hope u understood well

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