Corey X.
asked • 01/26/20The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers
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1 Expert Answer
Nathan B. answered • 01/28/20
Tutor
5
(20)
Elementary and Algebraic skilled
Here's what we know:
x - y = 9 (the difference between the two is 9)
x + 2y = 27 (the first plus twice the second is 27)
We can use the elimination method here. By multiplying the first equation by -1 and then tetal the two equations together, we can remove x and find y:
-x + y = -9
x + 2y = 27
---------------------
3y = 18
Divide by 3:
3y / 3 = 18 / 3
y = 6
Now that you know y, you can find x by placing it into each equation. (One to solve, the other to check your work)
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Kristy W.
Difference implies subtraction so we have x - y = 9 where x and y are both unknown. Then we have another equation that states x + 2y = 27 (is says equals in this case). This is a system of equations and we can solve them several ways. Since the coefficient of both x's is 1, the elimination method is best. Multiply the first equation by -1 getting -x + y = -9 x + 2y = 27 The x's cancel out or equal zero leaving us with 3y = 18. Solve for y by dividing both sides by 3 and y = 6. Now solve for x by substituting 6 for y in the original first equation. x - 6 = 9 - add 6 to both sides x = 1501/29/20