Solving Equations For Dummies
By Nathan B
Solving Linear
Equations![]() |
|
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. | ![]() |