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ICSE Class 9 Answered

How to solve 5x + 7y = 66

                         2x - 3y = -20

By elimination method.

 

Asked by eshaanbayale51.9spicertl | 02 Jun, 2020, 01:05: PM
Expert Answer

5x + 7y = 66    ... (1)

2x - 3y = -20   ... (2)
 
Multiplying (1) by 3 and (2) by 7, we get
15x + 21y = 198 ... (3)
14x - 21y = - 140  .... (4)
 
Adding (3) and (4), we get
 
19x = 58
→ x = 2
 
From (1),
5(2) + 7y = 66
→ 7y = 56
→   y = 8
 
The solution is x = 2 and y = 8.
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