Answer:
The answer to your question is
Step-by-step explanation:
Data
4x - 8y = -16 ------------ (I)
x - 2y = - 8 ------------ (II)
a) Solve equation II for x
x = 2y - 8
Substitute x in equation I
4(2y - 8) - 8y = -16
8y - 32 - 8y = -16
8y - 8y = 32 - 16
0 = 16 The system has no solution because y was
cancelled.
b) When a system of equations do not have solution means that the lines are parallels and different.
Answer:

Step-by-step explanation:
The domain is the set of all x-values. We can find the domain by finding the left boundary of the graph (the furthest left x-value) and then the right boundary (the furthest right x value).
The furthest left x-value is -7. Notice it has a large open circle here that is not filled in. This means the function does not include -7 but includes numbers very close to it like-6.999999..... We sue use an inequality sign without an equal to to write -7. x >-7.
The furthest right x value is 9. It has a closed circle or "filled in" circle so we write with an equal to sign.
.
We combine the two into
.
Answer:
(x1, y1) = (3, 1)
(x2, y2) = (2,4)
the slope is
m= y2−y1/x2−x1 = 4-1/2-3 = 3/-1 = <u>-3</u>
Answer:
x>-6, x<-4
Step-by-step explanation:
|x+5|>-1
x+5>−1 (Possibility 1)
x+5−5>−1−5 (Subtract 5 from both sides)
x>−6
x+5<−(−1)(Possibility 2)
x+5<1(Simplify both sides of the inequality)
x+5−5<1−5(Subtract 5 from both sides)
x<−4
x>-6 or x<-4