5x + 4y = 32 ⇒ 45x + 36y = 288
9x -  1y = 33 ⇒ <u>45x -    5y = 165</u>
                                    <u>41y</u> = <u>123</u>
                                     41      41
                                        y = 3
                            5x + 4(3) = 32 
                              5x + 12 = 32
                               <u>    - 12  - 12</u>
                                      <u>5x</u> = <u>20</u>
                                       5      5
                                        x = 4
                                  (x, y) = (4, 3)
        
             
        
        
        
Answer:
third option: log_2  1/3
Step-by-step explanation:
change of base formula:
log_b  a= (log_x a)/(log_x b)
(log 1/3)/(log 2)
apply reverse change of base formula
2 from log 2 becomes new base, and 1/3 becomes the other number
=log_2  1/3
 
        
             
        
        
        
E^x is not zero for any finite value of x.
The number of values for which e^x is zero is zero.
        
             
        
        
        
Answer:
y = -5/2x - 13
Step-by-step explanation:
First, we have to find the slope of the original equation
Subtract 5x from both sides
5x + 2y = 1 
- 5x         - 5x
2y = -5x + 1
Divide both sides by 2
2y/2 = (-5x + 1)/2
y = -5/2x + 1/2
The slope of this equation is -5/2, so -5/2 has to be in our new parallel equation
y = -5/2x + b
Plug in the given x and y
-3 = -5/2(-2) + b
-3 = 10 + b
Subtract 10 from both sides
-3 = 10 + b
- 10  - 10
b = -13
This makes our equation: y = -5/2x - 13
 
        
             
        
        
        
Yes they are the same because when the negative is distributed into (an+c), the plus sign becomes a negative.