The system of equations can be solved using linear combination to eliminate one of the variables. 2 x minus y equals negative 4 right arrow 10 x minus 5 y equals negative 20; 3 x plus 5 y = 59 right arrow 3 x plus 5 y equals 59; 13 x equals 39 Which equation can replace 3 x plus 5 y is equal to 59 in the original system and still produce the same solution?
A
10 x minus 5 y is equal to negative 20C
2 x minus y is equal to negative 4The original system gives 13x = 39 by adding 10x − 5y = −20 to 3x + 5y = 59. This means x = 3; substituting into 2x − y = −4 gives y = 10. Replacing the second equation with 13x = 39 still gives that same solution, so the correct choice is “13x is equal to 39.”
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