Answer: first option.
Step-by-step explanation:
Given the expression:
You need to remember the multiplication of signs:
Then, you know that:
So, an equivalent expression must have 
and 
. Let's check the expressions provided in the options:
You can observe that the equativalent expression is:
Answer:
(y-5)(y+7)
Step-by-step explanation:
Answer:
x = 1
y = 6
Explanation:
The first given equation is:
-x + y = 5
Multiply this equation by -1, you will get:
x - y = -5 ............> I
The second given equation is:
4x + y = 10 ..........> II
Add the two equations I and II as follows:
x - y = -5
+ 4x + y = 10
..............................
5x = 5
Therefore:
x = 5/5
x = 1
Substitute with x in equation I to get y as follows:
x - y = -5
1 - y = -5
y = 1 + 5
y = 6
Hope this helps :)
Answer:
a. P
b. P
c. P
d. P
e. NP
f. because it is a straight line that does not pass through the origin.
Step-by-step explanation:
Answer:
x = -10/6 or - 5/3 (in lowest terms)
Step-by-step explanation:
To solve 2(x + 3) = -4(x + 1) for x:
Distribute 2 into (x + 3), and -4 into (x + 1):
2(x + 3) = -4(x + 1)
2x + 6 = -4x - 4
Add 4x to both sides:
2x + 6 + 4x = -4x + 4x - 4
6x + 6 = -4
Subtract 6 from both sides:
6x + 6 - 6 = -4 - 6
6x = -10
Divide both sides by -6:
x = -10/6 or - 5/3 (in lowest terms)
