a. Visually what does it mean for a pair of linear equations to have an infinite amount of solutions?
b. Visually what does it mean for a pair of linear equations to have zero solutions?
Please help! Much needed help and explanation would be appreciated :)
a.
When a lines overlap completely.
For example:
27 x + 18 y = 24
9 x + 6 y = 8
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When you divide the first equation by 3 it will be:
9 x + 6 y = 8
In other words if both equations are same equation a pair of linear equations to have an infinite amount of solutions.
b.
This is the case where the lines are parallel and do not have a single point where they touch each other.
When there is no solution a parallel line has an identical slope.
y = m x + c1
and
y = m x + c2
for example:
y = 2 x + 1
and
y = 2 x - 7