A system of equations is shown on the graph below.How many solutions does this system have?

Accepted Solution

Answer:The system has no solutionStep-by-step explanation:we know thatThe solution of the system of two linear equations, is the intersection point both lines.In this problemThe lines are parallel, the lines don't intersectthereforeThe system has no solutionRemember that, if two lines are parallel then their slope are equalVerify that the slopes are the sameBlue linetake the points  (0,2) and (-2,0)[tex]m=(0-2)/(-2-0)=1[/tex]Red linetake the points  (0,-3) and (3,0)[tex]m=(0+3)/(3-0)=1[/tex]The slopes are equalThe lines are parallel