Mean:13 Median:12.5 Mode:12
I will try to solve your system of equations.
3
x
−
4
y
=
2
;
9
x
−
12
y
=
6
Step: Solve
3
x
−
4
y
=
2
for x:
3
x
−
4
y
+
4
y
=
2
+
4
y
(Add 4y to both sides)
3
x
=
4
y
+
2
3
x
3
=
4
y
+
2
3
(Divide both sides by 3)
x
=
4
3
y
+
2
3
Step: Substitute
4
3
y
+
2
3
for
x
in
9
x
−
12
y
=
6
:
9
x
−
12
y
=
6
9
(
4
3
y
+
2
3
)
−
12
y
=
6
6
=
6
(Simplify both sides of the equation)
6
+
−
6
=
6
+
−
6
(Add -6 to both sides)
0
=
0
Answer:
Infinitely many solutions.
8.7 The absolute value just makes stuff positive.
To solve this let us try to get x on it's own in the inequality.
-6<3x-12<=9
6<3x<=21
2<x<=7
Now a filled dot indicates <= or >= and empty indicates < or > so we know that the answer must have a filled dot on 7 and an empty dot on 2, with a line in between.
The answer is B, the selected one.
Line l:
1 = - 2 m + b / + ( - 1 )
1 = 4 m + b
----------------------
- 1 = 2 m - b
+
1 = 4 m + b
--------------------
0 = 6 m; m = 0
1 = 0 + b, b = 1
Line l:
y = 1
The distance from point P to line l:
7 - 1 = 6
Answer: 6 units.
