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.
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