Answer: 
Step-by-step explanation:

Distribute the negative sign. This basically changes all the signs inside the parentheses.

Combine like terms;

Answer:
x = -3, y = 2
Step-by-step explanation:
x - y = -5
x = -5 + y
Let's put this into the other equation
(-5 + y) + y = -1
-5 + 2y = -1
2y = 4
y = 2
Now we can solve for x by plugging y into either equation
x + (2) = -1
x = -3
Answer:
y=3x+10
Step-by-step explanation:
First, put the equation into point-slope form.
y-y1=m(x-x1)
y-4=3(x+2)
Next, distribute 3 to (x+2) and simplify.
y-4=3x+6
y=3x+10
This is awfully general. Ruben has or does something. Whatever. Let's call that Whatever "r." Then the expression in question is "r+10."
Answer:
PQ = 5 units
QR = 8 units
Step-by-step explanation:
Given
P(-3, 3)
Q(2, 3)
R(2, -5)
To determine
The length of the segment PQ
The length of the segment QR
Determining the length of the segment PQ
From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.
so
P(-3, 3), Q(2, 3)
PQ = 2 - (-3)
PQ = 2+3
PQ = 5 units
Therefore, the length of the segment PQ = 5 units
Determining the length of the segment QR
Q(2, 3), R(2, -5)
(x₁, y₁) = (2, 3)
(x₂, y₂) = (2, -5)
The length between the segment QR is:




Apply radical rule: ![\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5Cmathrm%7B%5C%3Aassuming%5C%3A%7Da%5Cge%200)

Therefore, the length between the segment QR is: 8 units
Summary:
PQ = 5 units
QR = 8 units