The solution to the system of equation below is (-2, - 1). 2x - 3y = - 1 11x - 9y = - 13 When the first equation is multiplied by - 3, the sum of the two equations is equivalent to 5x = - 10.

Question

Mathematics

Layton Kidd

20 November, 23:52

The solution to the system of equation below is (-2, - 1). 2x - 3y = - 1 11x - 9y = - 13 When the first equation is multiplied by - 3, the sum of the two equations is equivalent to 5x = - 10.

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Jude Erickson · Answer 1

We are given with two equations 2x - 3y = - 1 and 11x - 9y = - 13. The problem says that when the first equation is multiplied by - 3 which results to - 6x + 9y = 3, the sum of the resulting equation and the second one is equal to 5x = - 10. We verify this: - 6x + 11x = 5x while - 9 y and 9 y cancels out. 3+-13 equals - 10. Hence the total is really 5x = - 10.