Check all that apply. Select the statement(s) that correctly describes the solution to this system of equations:
8х - 2y = -4
4x-yー2
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.
3 answers
The statement "These lines are parallel, so there is no solution to this system of linear equations" correctly describes the solution to this system of equations.
This is wrong there is more than one answer
My apologies for the incorrect response. Let's re-evaluate the system of equations:
Equation 1: 8x - 2y = -4
Equation 2: 4x - y = 2
To solve the system, we will use the method of elimination:
Multiply Equation 2 by -2:
-2(4x - y) = -2(2)
-8x + 2y = -4 (Equation 3)
Now, add Equation 1 and Equation 3:
(8x - 2y) + (-8x + 2y) = -4 + (-4)
0 = -8
The equation 0 = -8 is a contradiction, indicating that the system of equations has no solution.
Therefore, the correct statement is:
These lines are parallel, so there is no solution to this system of linear equations.
Equation 1: 8x - 2y = -4
Equation 2: 4x - y = 2
To solve the system, we will use the method of elimination:
Multiply Equation 2 by -2:
-2(4x - y) = -2(2)
-8x + 2y = -4 (Equation 3)
Now, add Equation 1 and Equation 3:
(8x - 2y) + (-8x + 2y) = -4 + (-4)
0 = -8
The equation 0 = -8 is a contradiction, indicating that the system of equations has no solution.
Therefore, the correct statement is:
These lines are parallel, so there is no solution to this system of linear equations.
3 answers