Consider the following system:

equation 1: Ax + By = C

Equation 2: Dx + Ey = F

A, B, C, D, E, and F are non - zero real numbers. Which of the following can replace equation one and still have the same solution? Select all that apply.

Question

Mathematics

Jasper Tucker

21 October, 08:11

Consider the following system:

equation 1: Ax + By = C

Equation 2: Dx + Ey = F

A, B, C, D, E, and F are non - zero real numbers. Which of the following can replace equation one and still have the same solution? Select all that apply.

+2

Answers (1)

Know the Answer?

Trenton Buchanan · Answer 1

You did not include the choices. However, I answered one that just included them. I've included the possible answers below and then the correct answers.

A multiple of Equation 1.

B. The sum of Equation 1 and Equation 2

C. An equation that replaces only the coefficient of x with the sum of the coefficients of x in Equation 1 and Equation 2.

D. An equation that replaces only the coefficient of y with the sum of the coefficients of y in Equation 1 and Equation 2.

E. The sum of a multiple of Equation 1 and Equation 2.

A, B and E.

Adding and multiplying the terms allow them to keep working. However, you must make sure that each variable is changed each time. Not just one as in C and D.

Consider the following system:equation 1: Ax + By = CEquation 2: Dx + Ey = FA, B, C, D, E, and F are non - zero real numbers. Which of the following can replace equation one and still have the same solution? Select all that apply.

Consider the following system:

equation 1: Ax + By = C

Equation 2: Dx + Ey = F

A, B, C, D, E, and F are non - zero real numbers. Which of the following can replace equation one and still have the same solution? Select all that apply.