For this system of equation I used substitution:
Step 1: Every time you see a y in the equation y = 2x - 1 replace it with -4x - 19
-4x - 19 = 2x - 1
Step 2: Isolate x
(-4x + 4x) - 19 = (2x + 4x) - 1
-19 = 6x - 1
-19 + 1 = 6x + (- 1 + 1)
-18 = 6x
x = -3
Step 3: To solve for y replace x in the equation y = 2x - 1 with -3
y = 2(-3) - 1
y = -6 - 1
y = -7
(-3, -7) 
Check: 
-7 = -4(-3) - 19
-7 = 12 - 19
-7 = -7 --------------------------------> Correct!
-7 = 2(-3) - 1
-7 = -6 - 1
-7 = -7 --------------------------------> Correct!
Hope this helped!
 
        
             
        
        
        
Answer:

Step-by-step explanation:
We are given the exponential equation of:

Take natural logarithm both sides:

Apply logarithm property where:

Therefore:

Divide both sides by  :
:

Add 6 both sides:

Then divide both sides by 2:

Multiply 3 by 2ln10 for both denominator (1) and numerator (3):

Add in one denominator:

Hence, the answer is first choice.
 
        
                    
             
        
        
        
You need to filter out the necessary information. You are told that Alexis makes 27% of her foul shots. You are told she took 24 in the season. The info about 15 wins and 19 games is superflous information.
Find 27% of 24 foul shots to get to the answer.
Do this by multiplying 24 by .27.
6.48 - we are told to round the number to the nearest tenth.
6.5 shots - letter B.
 
        
             
        
        
        
Answer:
28.
Step-by-step explanation:
The first five prime numbers are : 2,3,5,7 and 11. Their sum is : 2+ 3 + 5 + 7 +11 = 28