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How many solutions does the following equation have?
23y+50+27y=50y+5023y+50+27y=50y+50

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The equation 23 · y + 50 + 27 · y = 50 · y + 50 has infinite solutions.

How to infer the number of solutions of a linear equation of the form f(y) = 0

In this question we have an equation in implicit form: 23 · y + 50 + 27 · y = 50 · y + 50, we need to transform its expression into explicit form by using algebra properties:

23 · y + 50 + 27 · y = 50 · y + 50         Given

50 · y + 50 = 50 · y + 50                      Commutative, associative and distributive properties / Definition of addition

0 = 0 Compatibility with addition / Existence of additive inverse / Modulative property / Result

The equivalence indicates that the equation 23 · y + 50 + 27 · y = 50 · y + 50 has infinite solutions.

To learn more on linear equations: https://brainly.com/question/11897796

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