At what point \((x, y)\) do the two lines with equations \(x - 2y = 5\) and \(3x - 5y = 8\) intersect?

{ x − 2 y = 5 / ∗ ( − 3 ) 3 x − 5 y = 8 ​ { − 3 x + 6 y = − 15 3 x − 5 y = 8 ​ + − − − − − − − y = − 7 x − 2 y = 5 x − 2 ∗ ( − 7 ) = 5 x + 14 = 5 ∣ − 14 x = 5 − 14 x = − 9 { x = − 9 y = − 7 ​ A n s w er : t hi s i s t h e p o in t : ( − 9 , − 7 )

Answered by Lilith | 2024-06-10

The lines x − 2 y = 5 and 3 x − 5 y = 8 intersect at the point ( − 9 , − 7 ) . By substituting values and solving, we find both x and y at this intersection point. Thus, the solution is confirmed to be correct with these coordinates.
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Answered by Lilith | 2024-12-24