Solving Systems of Linear Equations
y+2x=2->y=-2x+2 y+2x=-2 Lines are parallel->y=-2x-2 No solution
Substitute y=-2x+2 into y+2x=-2(-2x+2)+2x=-2Simplify: -2x+2+2x=-22=-2The statement 2=-2 is false meaning there is no solution
y+2x=2y+2x=-2subtract the first from the second (y+2x)-(y+2x)=2-(-2)Simplify which turns out to be 0=4 which is not correct so the system has no solution.
y+2x=2y+2x=-2
The system
Substitution
Graphing
By Kosten Edwards
This paragraph is ready to be filled with incredible creativity, experiences, and stories.
Solving Systems of Linear Equations
Kosten Edwards [STUDENT]
Created on October 28, 2025
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Transcript
Solving Systems of Linear Equations
y+2x=2->y=-2x+2 y+2x=-2 Lines are parallel->y=-2x-2 No solution
Substitute y=-2x+2 into y+2x=-2(-2x+2)+2x=-2Simplify: -2x+2+2x=-22=-2The statement 2=-2 is false meaning there is no solution
y+2x=2y+2x=-2subtract the first from the second (y+2x)-(y+2x)=2-(-2)Simplify which turns out to be 0=4 which is not correct so the system has no solution.
y+2x=2y+2x=-2
The system
Substitution
Graphing
By Kosten Edwards
This paragraph is ready to be filled with incredible creativity, experiences, and stories.