Classify the linear equation for each system:a) Line 1: y = − 1 4 x − 4Line 2: x + 4 y = − 16b) Line 1: y = − 2 x + 6Line 2: y = 1 2 x + 1c) Line 1: y = 2 3 x + 3Line 2: y = 2 3 x + 4I) This system of equations is:1) consistent independent2) consistent dependent3) inconsistentII) This means the system has:1) a unique solution2) no solution3) infinitely many solutions

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Classify the linear equation for each system:a) Line 1:   y  =            −      1        4    x  −  4Line 2:   x  +  4  y  =  −  16b) Line 1:   y  =  −  2  x  +  6Line 2:   y  =      1    2    x  +  1c) Line 1:   y  =      2    3    x  +  3Line 2:   y  =      2    3    x  +  4I) This system of equations is:1) consistent independent2) consistent dependent3) inconsistentII) This means the system has:1) a unique solution2) no solution3) infinitely many solutions

Caylee Davenport · Accepted Answer

Step 1a) Line 1   ⇒  y  =  −            −      1        4    x  −  4  ⇒  x  +  4  y  =  −  16Line 2   ⇒  x  +  4  y  =  −  16There are same equationsThen system is consistent dependent.Infinitely many solutions.b) They are intersecting at are point  ∴ Consistent independent, Unique solutions (2, 2)c) Lines are parallel. They will not intersect.  ∴ Inconsistent. No solution.

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