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One year there was a total of 78 commercial and noncommercial orbital launches w

ID: 3029524 • Letter: O

Question

One year there was a total of 78 commercial and noncommercial orbital launches worldwide. In addition, the number of noncommercial orbital launches was two more than three times the number of commercial orbital launches. Determine the number of commercial and noncommercial orbital launches. Select the correct choice below and fill in any answer boxes in your choice. A. The number of commercial orbital launches was. The number of noncommercial orbital launches was (Type whole numbers.) B. There are infinitely many solutions. C. There is no solution.

Explanation / Answer

Let the commercial launches be x

let the non- commercial launches be y

So, x +y = 78 ----(1)

y = 2 +3x -----(2)

solve the two equations : x +y = 78

y -3x = 2

----------------------- (-)

4x = 76

commercial launches x = 19 ;

non- commercial launches y = 59