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A linear pattern is created using the equationy=2x+3𝑦=2𝑥+3y=2x+3.Which option represents the first three terms of the pattern?

Question

A linear pattern is created using the equationy=2x+3𝑦=2𝑥+3y=2x+3.Which option represents the first three terms of the pattern?

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Solution

Claro, vamos a resolverlo paso a paso.

La ecuación dada es y=2x+3 y = 2x + 3 .

Para encontrar los primeros tres términos del patrón, sustituimos los valores de x x con 1, 2 y 3.

  1. Para x=1 x = 1 : y=2(1)+3=2+3=5 y = 2(1) + 3 = 2 + 3 = 5 El primer término es 5.

  2. Para x=2 x = 2 : y=2(2)+3=4+3=7 y = 2(2) + 3 = 4 + 3 = 7 El segundo término es 7.

  3. Para x=3 x = 3 : y=2(3)+3=6+3=9 y = 2(3) + 3 = 6 + 3 = 9 El tercer término es 9.

Por lo tanto, los primeros tres términos del patrón son 5, 7 y 9.

This problem has been solved

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