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?

Multiply 2x − y = −4 by 5 to get 10x − 5y = −20. Adding this to 3x + 5y = 59 eliminates y and gives 13x = 39, so that equation can replace 3x + 5y = 59 while keeping the same solution with the first equation. The correct choice is 13x = 39.

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