Question

When using substitution to solve a system of equations, how can you tell when a system has no solution? Make a selection from the drop down menu. A system has no solution when the resulting equation is always Choose... .

Answer 1

Answer: False

Explanation:

When a system has infinite or 0 solutions the same thing happens;

the variables cancel out, and you're left with an equation of numbers

if it is true, there are infinite solution, if it is false there are none;

for example:

if you get something like 5 = 5, obviously that is true so there are infinite solutions

but if you get something like 3 = 21, which is obviously not true, there are none solutions

So the resulting equation has to be false for there to be no solutions.