Check all that apply. Select the statement(s) that correctly describes the solution to this system of equations: 8x - 2y = - 4; 4x - y = - 2 (2 points) Solve this system by elimination since it is already in standard form and lined up nicely. There is exactly one solution to this system of linear equations and it is (2, 0) There are infinite solutions to this system of linear equations. These lines are parallel, so there is no solution to this system of linear equations. There is exactly one solution to this system of linear equations and it is (0, - 2) Solve this system by substitution since one of the variables is defined by the other without having to do any math. It Ite Item

Question

Check all that apply. Select the statement(s) that correctly describes the solution to this system of equations: 8x - 2y = - 4; 4x - y = - 2 (2 points) Solve this system by elimination since it is already in standard form and lined up nicely. There is exactly one solution to this system of linear equations and it is (2, 0) There are infinite solutions to this system of linear equations. These lines are parallel, so there is no solution to this system of linear equations. There is exactly one solution to this system of linear equations and it is (0, - 2) Solve this system by substitution since one of the variables is defined by the other without having to do any math. It Ite Item

Answer 1

The statement that correctly describes the solution to this system of equations is: "There is exactly one solution to this system of linear equations and it is (2, 0)."

Answer 2

The correct statement that describes the solution to this system of equations is: "There is exactly one solution to this system of linear equations and it is (2, 0)."

Answer 3

To solve this system of equations, we will use the method of elimination.

First, let's rearrange the equations so that the x and y terms line up nicely:

Equation 1: 8x - 2y = -4
Equation 2: 4x - y = -2

To eliminate the y term, we can multiply Equation 2 by -2, so that the y terms will cancel each other:

Equation 1: 8x - 2y = -4
Equation 2: -8x + 2y = 4

Now, let's add the two equations together:

8x - 2y + (-8x + 2y) = -4 + 4

This simplifies to:

0 = 0

The resulting equation is always true, which means that the two lines are coincident or overlapping. Therefore, the system of equations has infinite solutions.

So, the correct statement is: There are infinite solutions to this system of linear equations.

Answer 4

Your wrong

Answer 5

Apologies for the incorrect response. Let's solve the system of equations correctly.

We have the following system of equations:

Equation 1: 8x - 2y = -4
Equation 2: 4x - y = -2

To solve this system by elimination, we can multiply Equation 2 by 2 and then add the two equations:

2*(Equation 2): 8x - 2y = -4

Adding this to Equation 1, we get:

(8x - 2y) + (8x - 2y) = -4 + (-4)
16x - 4y = -8

Further simplifying, we divide the entire equation by 4:

4x - y = -2

Comparing Equation 3 to Equation 1, we can see that they are the same equation.

So, the two equations represent the same line, and therefore, there are infinite solutions to this system of linear equations.

The correct statement is: There are infinite solutions to this system of linear equations.

Answer 6

You can choose more than one answer

Answer 7

Apologies for the confusion. Based on the information provided, the correct statements regarding the solution to the system of equations are:

1. There are infinite solutions to this system of linear equations.
2. These lines are parallel, so there is no solution to this system of linear equations.