Question

1. if the equation $\frac{3x}{4} + \frac{y}{2} = 7$ is solved for $y$, which of the following is the correct solution?

a. $y = 14 - \frac{3x}{2}$
b. $y = 7 - \frac{3x}{4}$
c. $y = 14 - 3x$
d. $y = 7 + \frac{3x}{4}$

Explanation:

Step1: Eliminar término con $x$

Restamos $\frac{3x}{4}$ a ambos lados:
$$\frac{y}{2} = 7 - \frac{3x}{4}$$

Step2: Despejar $y$

Multiplicamos ambos lados por 2:
$$y = 2\times7 - 2\times\frac{3x}{4}$$

Step3: Simplificar la expresión

Calculamos cada término:
$$y = 14 - \frac{3x}{2}$$

Answer:

a. $y = 14 - \frac{3x}{2}$