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If 0 = 0 in a systems of equations is it a no solution​

2 Answers

1 vote
0=0 in systems is infinite many solutions
User Swapnil Godambe
by
5.6k points
3 votes

Answer:

False

Explanation:

It is infinitely many solutions

If the equations are not equal, that's when there are no solutions

Infinitely many solutions means that the 2 lines are scalar multiples of each other. They are basically over lapping lines, one of the line just has larger coefficients

EX: x + y = 2

2x + 2x = 4

*These two lines are just scalar multiples of each other. The second equation is just the first equation multiplied by 2. They are the same line.

So any point (x, y) that is on one line is also on the other (these are solutions to the system). There are an infinite amount of points on the line that satisfy the system, so there are infinitely many solutions

Solving this using elimination....

-2x - 2y = -4 (multiply the first equation by -2)

2x + 2y = 4

Now add them....

0 = 0

User ZeroKelvin
by
5.7k points
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