x + 7y = 10 and 3x - 2y = 7 by substitution method
Answers
Step-by-step explanation:
x + 8y = 10
x = 10 - 8y ---------(1)
3x -2y = 7
x = 7+3y /3 ---------(2)
LHS is equal in both equations (1)&(2) so RHS can be
equated
● 10-8y = 7+3y/3
(10-8y)3 = 7 +3y
30 - 24y = 7+3y
30-7 = 3y +24y
23 = 27y
y = 23/27
substitution of y value in any of those equations gives us
value of x also
x = 10 - 7(23/27)
x = 10 - 161 /27
x = 270 - 161 /27
x = 109/27
Answer:
x+7y=10--------------------(1)
3x-2y=7--------------------(2)
by substituion method,
x=10-7y-------------------(3)
putting value of x from eq 3 into eq 2
3(10-7y)-2y=7
30-21y-2y=7
-19y= 7-30
-19y=-23
y=23/19
now putting value of y in eq 3
x=10-7(23/19)
x=10-161/19
x=190-161/19
x=29/19
hence the values of x and y are 29/19 and 23/19 respectively
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Step-by-step explanation: