U.5

Number of Solutions of a System

One solution, no solution (parallel lines), or infinitely many (the same line)?

Level

Medium

Level

Problems

Show exampleInclude answer key

@page { size: letter; margin: 0; } @media print { .ws-page + .ws-page { break-before: page; } } Daniel Math Academy \cdot Grade 8 Math Number of Solutions of a System Skill U.5 \cdot Systems of equations \cdot ★★☆ Medium Name Date Score / 8 Scan for answers Write one solution, no solution, or infinitely many solutions. Example {y = 2 x + 3 y = 2 x - 1 : no solution Think: Same slope and different y-intercepts: the lines are parallel and never meet. The same line has infinitely many solutions; different slopes have exactly one. 1 {4 x + 3 y = - 3 12 x + 9 y = - 9 2 {2 x + y = - 2 4 x + 2 y = - 4 3 {y = - 5 x - 2 10 x + 2 y = - 2 4 {6 x + 5 y = - 25 12 x + 10 y = - 50 5 {4 x - 5 y = 29 2 x + y = - 3 6 {4 x + y = - 12 y = - 3 x - 9 7 {y = 2 x + 13 y = x + 9 8 {- 2 x + y = 7 4 x - 2 y = - 16 Daniel Math Academy \cdot danielmath.com Worksheet # 3zg726q \cdot Page 1 / 2 Daniel Math Academy \cdot Grade 8 Math Answer Key U.5 Number of Solutions of a System \cdot ★★☆ Medium 1 infinitely many solutions 2 infinitely many solutions 3 no solution 4 infinitely many solutions 5 one solution 6 one solution 7 one solution 8 no solution Daniel Math Academy \cdot danielmath.com Worksheet # 3zg726q \cdot Answer Key \cdot Page 2 / 2

U. Systems of equations7 skills