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

July 27, 2021 | education

| In order to determine at what values of the variable x the function given by the equation y = 4x – 1 takes a value equal to 11, you need to substitute 11 instead of y and solve the equations for the variable x.

So, substitute 11 for y and get the equation:

11 = 4x – 1;

We transfer terms with a variable to the left side of the equation, and not containing a variable to the right side. When transferring terms from one side of the equation to another, do not forget to reverse the signs.

– 4x = – 1 – 11;

– 4x = – 12;

x = – 12 / – 4;

x = 3.

Answer: for x = 3, the function takes on a value equal to 11.

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