Question

Which equation represents: "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."

Answer 1

The equation representing the statement 'Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100' is 4x × (3x + y) = 100. This is a linear equation with two unknowns, x and y, and cannot be uniquely solved without more information.

Step-by-step explanation:

To express the given statement as an equation, we need to define our unknown integers. Let's call the unknown integer x, and the different unknown integer y. The statement 'Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100' can be translated into the following equation:

4x × (3x + y) = 100

To solve for the unknowns, identify the known which is the number 100 in this case. Choose an equation that represents the problem, which we have already done, and then try to solve for the unknowns. Since the equation 4x × (3x + y) = 100 is not a quadratic equation, we have one linear equation with two unknowns, which means we cannot find a unique solution without additional information.

Answer 2

This is assuming that the question laid out the sequence of a calculation.

4y x 3y + z = 100
12y^2 + z = 100