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

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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