Solve this by substitution method (x+1)/2+(y-1)/3=9 ; (x-1)/3+(y+1)/2=8
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Answer:
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Answered by
2
Answer:
x=3 and y=7
Step-by-step explanation:
Solution;
Given;
(x+1)/2+(y-1)/3=9
or, {3(x+1)+2(y-1)}/6=9
or, (3x+3+2y-2)/6=9
or, 3x+1+2y=9x6
or, 3x = 54-1-2y
or, x = (53-2y)/3........(i)
(x-1)/3+(y+1)/2=8
or, {2(x-1)+3(y+1)}/6=8
or, (2x-2+3y+3)/6=8
or, 2x+3y+1=8x6
or, 2x(53-2y)/3 + 3y =48-1
or, (106-4y+9y)/3=47
or, 5y+106 = 47x3
or, 5y = 141 - 106
or y = 35/5
or, y=7
Substituting y=7 in (i)
x=(53-2y)/3
=(53-2x7)/3
=(53-14)/3
=39/3
=13
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