At what value of x does the function y = 4x-1 take on a value equal to 11?

In order to find at what value of the variable x the function y = 4x – 1 takes a value equal to 11, we will compose and solve the equation.

Substitute y = 11 into the equation and solve the resulting one-variable linear equation.

11 = 4x – 1;

Since there are no parentheses in the equation, you and I can go straight to the grouping in different parts of the equation of terms with and without variables.

-4x = -1 – 11;

Here are similar ones on the right side of the equation:

-4x = -12;

x = -12: (-4);

x = 3.

Let’s check if we found the value of the variable correctly.

y (3) = 4 * 3 – 1 = 12 – 1 = 11.