Can the following equations hold simultaneously?
3x – 7y = 7
11x + 5y = 87
5x + 4y = 43.
If so, find x and y.
Answers
Answered by
3
x=7,y=2
Step-by-step explanation:
1. 3x-7y =7
x=7+7y/3
2. 11x+5y=87
11x 7+7y/3+5y=87
77+77y+15y/3=87
77+92y=87×3
92y=261-77
y=184/92=2
y=2
from 1
x= 7+7×2/3
putting x=7 and y=2 from 3
3. LHS= 5×3+4×2
=35+8
=43=RHS
HENCE,HOLD SIMULTANEOUSLY AND X= 7, Y=2
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7
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