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1. 4x − 2y = 10 and 2x − y = 5
Lines are coincident.
2. y = 2x − 3 and −2x + y = −5
Lines are parallel.
3. 2x − 5y = 14 and 3x + 4y = 10
Lines are intersecting.
<h2>Linear system</h2>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
<h3>Given</h3>1. 4x − 2y = 10 and 2x − y = 5
2. y = 2x − 3 and −2x + y = −5
3. 2x − 5y = 14 and 3x + 4y = 10
<h3>Condition for the lines.</h3>1. 4x − 2y = 10 and 2x − y = 5
Lines are coincident.
2. y = 2x − 3 and −2x + y = −5
Lines are parallel.
3. 2x − 5y = 14 and 3x + 4y = 10
Lines are intersecting.
More about the linear system link is given below.