Question

The system of equations can be solved using linear combination to eliminate one of the variables.2x − y = −4→10x − 5y = −203x + 5y = 59→3x + 5y = 59 13x = 39Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?2x – y = –410x – 5y = –207x = 3913x = 39

Answer 1

2x − y = −4 → 10x − 5y = −20
3x + 5y = 59 → 3x + 5y = 59
13x = 39 . . . . . result of adding the two equations on the right

13x = 39 can replace 3x + 5y = 59 in the original system and still produce the same solution.