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If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)

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by BTGmoderatorLU » Sun Nov 26, 2023 10:15 am

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If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)

A. \(3\)
B. \(6\)
C. \(5\)
D. \(4\)
E. \(2\)

The OA is C
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Re: If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)

by adamarkin » Fri Dec 15, 2023 7:33 pm
BTGmoderatorLU wrote: ↑
Sun Nov 26, 2023 10:15 am
 If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)
A. \(3\)
B. \(6\)
C. \(5\)
D. \(4\)
E. \(2\)

The OA is C
When x > 0, we can start by substituting x = 1, 2, 3, 4, 5 and solving for |y| in each case. This will give us the corresponding integer values of y that satisfy the equation. When we do this, we find that there are 5 integer pairs (x, y) that satisfy the equation. Therefore, the answer is C. 5
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