How many solutions are there to the following system of equations? 5x + 3y = 7 2x -y = 2

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How many solutions are there to the following system of equations? 5x + 3y = 7 2x -y = 2

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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substitute y from second equation in first to obtain x, then use it to find y it has one unique solution
5x + 3y = 7....(1) 2x -y = 2........(2) (2) -y=2-2x y=2x-2...(2)' (2)' substitute to (1) 5x+3(2x-2)=7 11x=13 x=13/11 x substitute to (2) 2(13/11)-y=2 y=-22/26 1st solution
5x + 3y = 7....(1) 2x -y = 2........(2) (2)x3 6x-3y=6...(3) (1)+(3) 11x=13 x=13/11 and substitute to (2) 2(13/11) - y =2 26/11 -y =2 y=4/11 this is the 2nd solution with eliminate. sorry i got wrong about y in the 1st solution

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