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.

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.

MrRoyal MrRoyal · Answer 2 · 2022-04-14T13:23:52+02:00

The true statement is (b) the sum of equation 1 and 2

How to determine the true statement?

The system of equations are given as:

Equation 1: Ax + By = C

Equation 2: Dx + Ey = F

Add both equations to given an equation 3

Ax + Dx + By + Ey = C + F

When the above equation 3 replaces one of the equation, the solution would remain the same

Hence, the true statement is (b) the sum of equation 1 and 2

Read more about system of equations at:

https://brainly.com/question/9647822

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.

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How to determine the true statement?

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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.