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prohojiy [21]
3 years ago
10

give an example if a linear equation in one variable with infinitely many solutioms. Explain how you know it has many solutions.

Mathematics
2 answers:
scoray [572]3 years ago
6 0
Ask expert and try to use your brain and why do you want to know many solutions just study one that's enough
earnstyle [38]3 years ago
5 0
There can be zero solutions, 1 solution or infinite solutions--each case is explained in detail below. <span>Note: Although systems of linear equations can have 3 or more equations,we are going to refer to the most common case--a stem with exactly 2 lines.</span> Case I: 1 Solution

This is the most common situation and it involves lines that intersect exactly 1 time.

Case 2: No Solutions

This only happens when the lines are parallel. As you can see, parallel lines are not going to ever meet.

Example of a stem that has no solution:

<span><span>Line 1: y = 5x +13</span><span>Line 2: y = 5x + 12</span></span>
Case 3: Infinite Solutions

This is the rarest case and only occurs when you have the same line
Consider, for instance, the two lines below (y = 2x+1 and 2y = 4x +2). These two equations are really the same line .

Example of a system that has infinite solutions:

<span><span>Line 1: y = 2x + 1</span><span>Line 2: 2y = 4x + 2 </span></span>





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