The function is defined by the formula y = 5x-7. Find the value of the argument at which the function value is 13.

To find those values of the argument at which the function given by the equation y = 5x – 7 takes a value equal to 13, we substitute in the equation y = 13 and solve the linear equation with respect to the variable x.

Substituting y = 13 into the equation, we get:

13 = 5x – 7;

We transfer the terms without variable to the right side of the equation, and terms containing x to the left. When transferring the terms, we change the signs to the opposite.

– 5x = – 7 – 13;

– 5x = – 20;

Divide both sides of the equation by – 5:

x = – 20: – 5 = 4.

Answer: for x = 4, the function takes on a value equal to 13.