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ICSE Class 9 Answered

How to solve By elimination method table attributes columnalign left end attributes row cell 6 x plus 5 y equals 5 end cell row cell 2 x minus 27 equals 11 y end cell end table
Asked by eshaanbayale51.9spicertl | 02 Jun, 2020, 01:46: PM
Expert Answer
6x + 5y = 5   ... (1)
2x - 27  = 11y 
→ 2x - 11y = 27  ... (2)
 
Multiply (1) by 11 and (2) by 5, we get
 
66x + 55y = 55     .... (3)
10x - 55y  = 135   .... (4)
 
Adding (3) and (4), we get
 
76x = 190
→ x = 5/2
 
From (1),
 
5y = 5 - 6× 5/2
→ 5y = 5 - 15 = -10
→ y = -2
 
 
The solution is x = 5/2 and y = -2.
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