Construct a consistent and independent system of equations that has ( − 1 , − 4 ) as its solution. Use x and y as your variables, and put your equations in the form A x + B y = C with A ≠ 0 and B ≠ 0 using the four answer boxes below. Note that there are many possible correct answers.

A consistent and independent system of equations has exactly one solution.

A possible system of equation is: and

The solutions are given as:

The general equation is given as:

Substitute values for x and y

Assume A = 1 and C = 3

So, we have:

Collect like terms

Divide both sides by -4

Substitute , A = 1 and C = 3 in

Also, we have:

Assume A = -4 and C = 16

So, we have:

Collect like terms

Divide both sides by -4

Substitute , A = -4 and C = 16 in

Hence, a possible system of equation is:

and

Read more about consistent and independent system of equations at:

link

x - y = 3

2x - y = 2

Step-by-step explanation:

x = 3 + y

2(3 + y) - y = 2

6 + 2y - y = 2

y = 2 - 6

y = -4

x = 3 + (-4)

x = 3 - 4

x = -1

Verified

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540