Name the independent and the dependent variables in each of the following equations:

(i) y = 2x + 5

(ii) x = 8 - 2y

(iii) x = $\dfrac{3}{2}\text{ y} + 4$

(iv) y = -5x - 8.

(i) y = 2x + 5

In the above equation, the value of y depends on the value of x, so y is said to be dependent variable and x is said to be independent variable.

Hence, x = independent variable and y = dependent variable.

(ii) x = 8 - 2y

In the above equation, the value of x depends on the value of y, so x is said to be dependent variable and y is said to be independent variable.

Hence, y = independent variable and x = dependent variable.

(iii) x = $\dfrac{3}{2}\text{ y} + 4$

In the above equation, the value of x depends on the value of y, so x is said to be dependent variable and y is said to be independent variable.

Hence, y = independent variable and x = dependent variable.

(iv) y = -5x - 8.

In the above equation, the value of y depends on the value of x, so y is said to be dependent variable and x is said to be independent variable.

Hence, x = independent variable and y = dependent variable.