This page will show you how to solve basic equations, linteral equations, and how to write an equation of a line. This also includes examples and explanations of each.
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| Problem Demonstration | Explaination. |
| First Example: 2x-4x = -5 | This is an equation with one variable. |
| -2x = -5 | Combine Like Terms. |
| x = -5 | Get the equaivalent of one x. (In this case divide by -2) |
| Second Example: 5x -3 = 9 | This is another equation with one variable. |
| 5x = 12 | Add 3 to both sides, which cancels which leaves x by it self. |
| x = 12/5 | Divide both sides by 5 to get what x equals. (12/5) |
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| First Example: | Explanation. |
| 4x + 9y = 30; x = 3 | This is an equation with two variables but one is given. |
| 4*3 + 9y = 30 | Subsititute for x. |
| 12 + 9y = 30 | Perform operations. |
| 9y = 18 | Subtract 12 from both sides to get y by its self. |
| y = 2 | Divide both sides by 9. |
| Second Example: | Explanation. |
| -y -2x = -11 ; x = -4 | An equation with one unknown variable and one known variable. |
| -y -2(-4) = -11 | Substitute for x. |
| -y +8 = -11 | Perform operations. |
| -y = -19 | Subtract 8 from both sides. |
| y = 19 | Divide both sides by negative one to get what y equals. |
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| First Example: | |
| m = 5, b=-3 | The slope and y- intercept is given. |
| y = mx + b | Y-intercept form. |
| y = 5x -3 | Substitue for the variables. |
| Second Example: | |
| (4,8) (8,12) | Two points are given |
| (y2-y1)/(x2-x1) = m | This is the formula for slope (m) |
| (12-8)/(8-4) = m | Substitute for the given coordinates. |
| 4/4 = m | Perform operations. |
| 1 = m | Simplify to find slope. |
| y = mx + b | Y-Intercept formula. |
| 8 = 1(4) + b | Substitute the slope and one set of coordinates in. |
| 8 = 4 + b | Perform operation. |
| 4 = b | Subtract 4 from both sides to find the y-intercept (b) |
| y = 1x + 4 | Substitue for slope and the y-intercept to find the equation of the line. |
For examples of how write all three equations of a line.
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