Question

Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}x-7y=-3\\\\4x+y=7\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ x−7y=−3 4x+y=7 ​ \begin{cases}4x+y=7\\\\x-7y=-3\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 4x+y=7 x−7y=−3 ​ 1) How can we get System BBB from System AAA?

Answer 1

To obtain System BBB from System AAA, you need to rearrange the equations in System AAA so that the x and y terms are in the same order as in System BBB.

Step-by-step explanation:

To obtain System BBB from System AAA, we need to rearrange the equations in System AAA so that the x and y terms are in the same order as in System BBB. Here are the steps:

1. Start with System AAA: x - 7y = -3 and 4x + y = 7
2. Rearrange the first equation by multiplying it by -1: -x + 7y = 3
3. Write the rearranged equations: -x + 7y = 3 and 4x + y = 7
4. Switch the order of the equations: 4x + y = 7 and -x + 7y = 3

Now we have System BBB:

4x + y = 7 and -x + 7y = 3

Answer 2

To derive System BBB from System AAA, reorder or algebraically manipulate the equations of System AAA into the form of System BBB: first equation as x-7y=-3 and second equation as 4x+y=7.

Step-by-step explanation:

To get System BBB from System AAA, you would need to know the specific equations that make up System AAA. However, assuming that System AAA includes the same two equations as System BBB but possibly in a different form or order, System BBB can be derived from System AAA by rearranging the equations in the specified order: the first equation as x - 7y = -3 and the second equation as 4x + y = 7. If the equations in System AAA are not already in this form, you can use algebraic methods such as substitution or addition/subtraction to manipulate the equations into the desired form.