A linear system of two equations is shown y=4x+6 y=4x-5 How many solutions does the system have?

Question

A linear system of two equations is shown y=4x+6  y=4x-5 How many solutions does the system have?

anonymous · Answer

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anonymous · Answer

This system has no solutions because it possible can't be true that y = 4x + 6 and y is also equal to 4x - 5.

y = 4x + 6
y = 4x - 5

These two can't be true for any value of x.

anonymous · Answer

two linear system always have one intersection unless they are parallel

anonymous · Answer

In which case, they have "no solution".

amistre64 · Answer

if the lines are parallel, then 2 conditions can occur.  No solutions and infinite solutions.  In this case, they have the same slope by differ by a constant; so they cross the y axis at different points; hence, no solution.

anonymous · Answer

Correct. I missed that case.