Question

Writing Solve the system using addition. Use pencil and paper. Explain why the addition method is a good choice for solving the system. If you wanted to solve for x​ first, is the addition method still a good​ choice? Explain. x−4.4y = −15.2 −x+5.6y = 18.8 Question content area bottom Part 1 The solution is enter your response here. ​(Type an ordered​ pair.)

Answer 1

The solution to the system of equations is (x, y) = (-2, 3).

The addition method is a good choice for this system because it simplifies the process of solving for the variables.

Step-by-step explanation:

To solve the given system of equations using addition, we need to add the two equations together in a way that eliminates one of the variables.

Let's add the two equations:

x - 4.4y = -15.2

-x + 5.6y = 18.8

Adding the two equations together, we get:

0 + 1.2y = 3.6

Now, solve for y:

y = 3.6 / 1.2 = 3

Substitute the value of y back into one of the original equations to solve for x:

x - 4.4(3)

= -15.2

x - 13.2

= -15.2

x = -15.2 + 13.2

= -2

Therefore, the solution to the system of equations is (x, y) = (-2, 3).

The addition method is a good choice for solving this system because it involves adding the two equations together to eliminate one of the variables. This allows us to solve for the remaining variable.

If we wanted to solve for x first, the addition method would still be a good choice because we can rearrange the equations to eliminate y instead of x.