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This means that either a variable will equal a number or even a number that equals a number for example 1=1, 2=2, x=4, and y=20. Just remember that even though numbers may equal numbers they still must hold truth in order to have infinitely many solution, without truth the equation is considered to have no solution such as 2 = -7. Look at the example below to see an equation with infinitely many solutions.
3 -4x -1 = 8x - 7 +4x
2 - 4x=12x - 7
+7+4x +4x +7
9 = 16x
/16
0.56 = x
As we can see the variable equals a number and therefore we can only assume the statement is true. Therefore this equation is considered to have infinitely many solutions
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