Solving Equations For Dummies
                  By Nathan B
 
 
 

Solving Linear Equations        Examples        
               


                                                                  7y - 4 + 2y = 6y + 11
 
 
 

Step 1: Combine any like terms (7y and 2y are like terms) 9y-4=6y+11
Step 2: Get all variables to one side of the equation.(do this by taking 6y and subtracting it from both sides) 3y-4=11
Step 3: Get all numbers on the other side of the equation
(do this by adding 4 to both sides)
3y=15
Step 4: Divide both sides by Three to get your answer y=5

 


 

Now I will show you how to find slope if given 2 points Formula (y2-y1) divided by (x2-x1)
   
The Points are (3,2) and (7,6)  


 
 
 
 
 

Step 1: Take the points given and label them x1, x2, y1, and y2. (7 will be x2, 6 will y2, 3 will be x1, and 2 will be y1)  
Step 2: Plug the points into the equation. (6-2) divided by (7-3)
Step 3: Subtract the numbers in the ( ) and divide. 4 divided 4
Step 4: The answer you get is the slope slope = 1
   


 
 
 



 

Now I will show you how to find the y intercept of a line in slope intercept form when given a point on the line ( slope intercept form is y=mx+b with m being the slope and b being the y intercept) Problem

y=3x+b

with the given point of (3,6)

   
Step 1: Plug the point into the equation (6 will go in place of y, and 3 will take the place of x) 6=3(3) + b
Step 2: Multiply 3 by the other 3 6=9 + b
Step 3: Subtract 9 from both sides so the numbers are on 1 side, and the variables are on the other) 6-9=b
Step 4: The answer you get is the y intercept. -3=b
   
   
Congratulations, you are no longer a dummy when it comes to solving equations.
   
   
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