Question

(1) Ax + By = C (2) Dx + Ey = F Jim is trying to solve the system of equations. He begins by multiplying equation (1) by D and equation (2) by A. Before he can continue, his friend Angela comes by and says, "No, you should have multiplied equation (1) by E and equation (2) by B. You're going to get the wrong answer." Is Angela right? Why or why not?

Answer 1

C

Step-by-step explanation:

No; Jim is trying to eliminate x, while she is trying to eliminate y. Both ways will work.

Answer 2

No, Angela is not correct.

As the method Jim was performing will also lead to the solution.

Explanation:

We are given first equation as:

Ax + By = C

Second equation is:

Dx + Ey = F

Jim solved the equation as:

He begins by multiplying equation (1) by D and equation (2) by A.

and so by subtracting both the equations he will obtain a value of y.

and then put the y-value in any of the given two equations to obtain the value of x.

Angela Method:

you should have multiplied equation (1) by E and equation (2) by B.

and when she will subtract both the equations she will get the value of x first and then when she will put the value of x in any of the given equation she will obtain the value of y.

But both will get a value for x and y.

Hence, the method Jim was performing was also correct.