The equation that has infinitely many solutions in the options is 21 + 2.5w = 6 +5.7w - 3.2w + 15
What is an equation with an Infinitely many solution:
An equation with infinitely many solutions essentially have same thing on both sides.
Generally, a linear equation has infinitely many solution when the equations are equivalent. Let take for example:
The equation above have infinitely many solution because there is no actual value of y.
Therefore,
2y + 2 = 2y + 2
2 = 2
We can see both sides are equal to each other. So, this is an infinitely many solution.
Therefore, 21 + 2.5w = 6 +5.7w - 3.2w + 15 has an infinitely many solution.
- 21 + 2.5w = 6 +5.7w - 3.2w + 15
- 21 + 2.5w = 6 + 15 + 5.7w - 3.2w
- 21 + 2.5w = 21 + 2.5w
- 21 = 21
- 0 = 0
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