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Omni-MATH / How many points (x,y), with x and y both integers, are on the line with equation y=4x+3 and inside the region bounded by x=25,x=75,y=120, and y=250?

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problem

How many points (x,y)(x, y), with xx and yy both integers, are on the line with equation y=4x+3y=4x+3 and inside the region bounded by x=25,x=75,y=120x=25, x=75, y=120, and y=250y=250?
Plain-text mathematical notation (without MathML)
How many points (x,y), with x and y both integers, are on the line with equation y=4x+3 and inside the region bounded by x=25,x=75,y=120, and y=250?
Original LaTeX notation
How many points $(x, y)$, with $x$ and $y$ both integers, are on the line with equation $y=4x+3$ and inside the region bounded by $x=25, x=75, y=120$, and $y=250$?

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