Answer:
C. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.
Step-by-step explanation:
2x-y=12
-3x-5y=-5
multiply the first equation by -5
-10x +5y = -60
add the 2 equations together
-3x-5y=-5
-10x +5y = -60
-------------------------
-13x = -65
We use the addition property of equality which says adding the same thing to both sides, doesn't change the equation, so we will get the same answer as the original equation
Domain is the set of numbers you can use
usually, domain=all real numbers except those that divide by zero
so find those exceptions
find what numbers make deonenator equal to 0 and exclude them
x-23 is denom
x-23=0
x=23
doman is all real numbers except 23
The 5x and the combination of (40° + x) are "vertical angles".
Vertical angles are equal.
So
5x = 40° + x
Subtract 'x' from each side: 4x = 40°
Divide each side by 4 : x = ?
29.75/8.5=x/4.5
using the "butterfly method"
8.5x=133.875
/8.5 /8.5
x=15.75
You have to make a proportion
Answer:
Total number of dogs is 5.
Step-by-step explanation:
Cups of food each dog gets=
Here,each dog eats two-third cups of dog food.
Amount of dog food used=
A total of three and one-third cups of food is used up.
Let the number of dogs be x.
To find the number of dogs,divide total dog food used by the amount of dog food eaten by each dog.
Hence, x =
x =
x =5
