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vladimir2022 [97]
2 years ago
14

Solve for "y" if 2x + 8y = 6

Mathematics
1 answer:
Nikitich [7]2 years ago
5 0

The explicit solution for y of 2x + 8y = 6 is y = 3 / 4 - x / 4.

<h3>How to solve a linear equation in explicit form</h3>

Herein we have a linear equation in implicit form that must be transformed into its explicit form. In this case, we must described y as a function of x by means of algebraic measures. The complete procedure is shown below:

2 · x + 8 · y = 6                     Given

8 · y = 6 - 2 · x                      Compatibility with addition / Existence of additive inverse / Modulative property

y = (6 - 2 · x) / 8                    Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

y = 3 / 4 - x / 4                      Subtraction of fractions with same denominators / Associative property / Definition of division / Result

The explicit solution for y of 2x + 8y = 6 is y = 3 / 4 - x / 4.

To learn more on functions: brainly.com/question/12431044

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