1. The solution to a system of equations is a point, while the solution to a system of inequalities is a shaded region on a graph. 2. Parallel lines have the same slope and never intersect, so they have no solution. Coinciding lines are the same single line, so they have infinitely many solutions. 3. The document provides examples of solving systems of equations and inequalities through graphing, substitution, and elimination. The solutions are given as points or descriptions of regions.

1. Algebra 2<br />Test 3 Study Guide<br />The solution to a system of equations is a point.<br />The solution to a system of inequalities is a shaded area.<br />Parallel lines: Never intersect, same slope, no solution<br />Coinciding lines: Same line, infinitely many solutions<br />Is 3,2 a solution to the system?<br />1.y=-2x+8 2.-y=x-5<br />-4x+8y=3 3y=2x<br />NOYES<br />3.y>-x+14.y>-x+1<br />2y≥2x-22y>2x-2<br />YESNO<br />Solve the system of equations by graphing.<br />5.2x+y=136.y=-2x-2<br />y=52x-1-2y=-x+16<br />112, 312 (2,7)<br />7.2x+y=-118.y=5x<br />-3y=6x+33y=x+4<br />infinitely many solutions12,212<br />Solve the system of equations by substitution or elimination.<br />9.2x-4y=1310.3x+4y=-4<br />4x-5y=8x+2y=2<br />-112, -6-8, 5<br />11.x-2y=312.6x-10y=12<br />2x-4y=7-15x+25y=-30<br />no solutioninfinitely many solutions<br />13.-5x+7y=1114.-2x+3y=20<br />-5x+3y=194x+4y=-15<br />-5, -2-254,52<br />15.x-y=316.x-4y=-2<br />-2x+2y=-6-3x+8y=-1<br />infinitely many solutions5,74<br />Solve the system of inequalities by graphing.<br />17.x-y≥318.y>2x+2<br />y≤x-52x+y<4<br />19.x+y≤-320.y<-2x+10<br />2x-3y>-6x+3y>-3<br />