Answer:
8)
[tex]3x-3y=6\\-x+y=-2[/tex]
Consistent and Dependent
9)
[tex]x+y=0\\-x+y=-8[/tex]
Consistent and Independent
10)
[tex]x+y=0\\-x+y=-8[/tex]
Inconsistent
11 ) (0, 3)
12) (-2, 1)
Step-by-step explanation:
Question 8
The slope-intercept equation of the line is: y = x - 2
Therefore, the correct set of equations is:
[tex]3x-3y=6\\-x+y=-2[/tex]
Consistent and Dependent, as:
- Same line
- Infinite solutions
Question 9
The slope-intercept equation of the lines are:
y = x - 8 and y = -x
Therefore, the correct set of equations is:
[tex]x+y=0\\-x+y=-8[/tex]
Consistent and Independent, as:
- Intersects at 1 point
- One solution
Question 10
The slope-intercept equation of the lines are:
y = -2x + 3 and y = -2x + 1
Therefore, the correct set of equations is:
[tex]4x+2y=6\\4y=-8x+4[/tex]
Inconsistent
- Parallel lines
- No solutions
Question 11
Solution is where the two lines intersect:
Solution (0, 3)
Question 12
Solution is where the two lines intersect:
Solution (-2, 1)
