Check all that apply. Select the statement(s) that correctly describes the solution to this system of equations:%0D%0A%0D%0A8x−2y=−4%0D%0A8%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A4%0D%0A4x−y=−2%0D%0A4%0D%0A%0D%0A−%0D%0A%0D%0A=%0D%0A−%0D%0A2%0D%0A(2 points)%0D%0AResponses%0D%0A%0D%0ASolve this system by elimination since it is already in standard form and lined up nicely.%0D%0ASolve this system by elimination since it is already in standard form and lined up nicely.%0D%0A%0D%0AThere is exactly one solution to this system of linear equations and it is (2, 0).%0D%0AThere is exactly one solution to this system of linear equations and it is (2, 0).%0D%0A%0D%0AThere are infinite solutions to this system of linear equations.%0D%0AThere are infinite solutions to this system of linear equations.%0D%0A%0D%0AThese lines are parallel, so there is no solution to this system of linear equations.%0D%0AThese lines are parallel, so there is no solution to this system of linear equations.%0D%0A%0D%0AThere is exactly one solution to this system of linear equations and it is (0, -2).%0D%0AThere is exactly one solution to this system of linear equations and it is (0, -2).%0D%0A%0D%0ASolve this system by substitution since one of the variables is defined by the other without having to do any math.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

There is exactly one solution to this system of linear equations and it is (2, 0).

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

The correct statement is:

- 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).

User Icon for Explain Bot Explain Bot answered
1 year ago

To solve this system of equations:

8x - 2y = -4 ...(1)
4x - y = -2 ...(2)

The first step is to eliminate one of the variables by multiplying one or both equations by appropriate constants so that the coefficients of one variable will cancel out when the equations are added together.

For this system, multiplying equation (2) by 2 will give us:

8x - 2y = -4 ...(1)
8x - 2y = -4 ...(3)

Now, we can subtract equation (1) from equation (3) to eliminate the variable y:

(8x - 2y) - (8x - 2y) = -4 - (-4)
0 = 0

This means that the equations are equivalent and have infinitely many solutions. So, the correct statement(s) that describe the solution to this system of equations are:

- There are infinite solutions to this system of linear equations.

anonymous anonymous answered
1 year ago

Select more then 1 answer

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

- 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.