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The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.

1 Answer

12 votes

Answer:

Explanation:

x + y = 25

2x - y = 6 Solve for y in this the second equation. Add y to both sides

2x = 6 + y The ys on the left cancel. Subtract 6 from both sides.

2x - 6 = y

Put this value of y into the first equation

x + y = 25

x + 2x - 6 = 25 Combine on the left

3x - 6 = 25 Add 6 to both sides.

3x = 25 + 6 Combine the right

3x = 31 Divide by 3

x = 31 / 3

x = 10.333333

x + y = 25

10.33333 + y = 25 Subtract 10.33333

y = 25 - 10.333333

y = 14.666666

x + y = 25

10.33333 + 14.66666

25 approximately.

2x - y = 6

2*10.33333 - 14.66666

20.66666 - 14.66666

6

You should note that those numbers are repeating decimals

2x - 6 = y

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