Question

A linear system of two equations is shown in the graph. How many solutions does the system have?


0

1

2

infinitely many

Answer 1

Zero solutions
because the lines are not coinciding at anypoints!

Answer 2

If they did intersect at some point then x and y at that point would be the same numbers.
y at that point would be equal so we can say\[4x+6=4x-5\]\[4x-4x=-5-6\]\[0=-11\]oops, no single solution, they don't intersect.