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IPMAT Indore 2019 (SA) PYQs

If ∣x∣<100|x| <100∣x∣<100 and ∣y∣<100|y| <100∣y∣<100, then the number of integer solutions of (x,y)(x, y)(x,y) satisfying the equation 4x+7y=34x + 7y = 34x+7y=3 is

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If $|x| <100$ and $|y| <100$ , then the number of integer solutions of $(x, y)$ satisfying the equation $4x + 7y = 3$ is