Answer & Step-by-step explanation:
8s - (5s + 6)= 12(20+6s)
8s - 5s - 6 = 240 + 72s
3s - 6 = 240 + 72s
-246 = 69s
s= -246/69
s = - 3 13/23
Hope this helps!!!
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.
Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions
Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions
x+y=24
Subtract y from both sides
x=24-y
Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14
Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10
So there are 10 three point questions
There are 14 five point questions.
Hope this helped! :)
Answer: Postulate 1: -4,-4
Postulate 2: D. The postulates guarantee that unique lines can be draw that they will meet at a unique point.
Step-by-step explanation:
For this case we must find the value of the variable "x" of the following expression:

We apply distributive property to the terms within parentheses: 
We subtract 4x on both sides:

We add 2 to both sides:

We divide between 2 on both sides:

Answer:
