Answer:
Step-by-step explanation:
x - 30 = 14 - 3x
     4x = 44
       x = 11
Let's call the unknown number x
 
Now let's decrease it by 30, that is x-30
 
Now let's write out "14 decreased by three times the number", that is 14 - 3x
 
The problem says these are the same, that is x - 30 = 14 - 3x
 
We now want to isolate, or solve for, x
 
Move the x to one side of the equation by adding 3x to both sides
 
3x + x -30 = 14 - 3x + 3x
 
4x -30 = 14
 
Now move the 30 to the right hand side by adding 30 to both sides
 
4x - 30 + 30 = 14 + 30
 
4x = 44
 
Now all we have to do to get x is divide both sides by 4
 
4x/4 = 44/4
 
x = 11
 
        
             
        
        
        
Answer:
10
Step-by-step explanation:
f(x) = 3x + 1
f(3)= 3 * 3 + 1 + 10
 
        
             
        
        
        
Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!
        
             
        
        
        
10-4=6. 6-3=3 
6÷3 =2. Slope is positive and equals 2
        
             
        
        
        
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)