Search results
• Understanding simple equations • Hands-on equations • Solving equations mentally • One-step equations • Two-step equations • Simplifying equations and combining like terms • Distributive property • Equations with variables on both sides
In this unit we are going to be looking at simple equations in one variable, and the equations will be linear - that means there’ll be no x2 terms and no x3’s, just x’s and numbers. For example, we will see how to solve the equation 3x + 15 = x + 25. 2. Solving equations by collecting terms.
A Five-Step Process. You need to memorize these 5 steps when you solve a linear equation, until you can do them without too much thinking: Get rid of parentheses by distributive property. Combine like terms. Move variable terms to one side of the equal sign. Move number terms to the other side of the equal sign.
The General Form of a basic linear equation is: ax b c . To Solve: the goal is to write the equation in the form variable = constant. The solution to an equation is the set of all values that check in the equation. STEP BY STEP PROCEDURE FOR SOLVING LINEAR EQUATIONS:
Example: If you have a slope of. You must have slope (m) and the y-intercept (b) in order to write an equation. Step 1: Substitute m, x, y into the equation and solve for b. Step 2: Use m and b to write your equation in slope intercept form.
In high school you learned how to solve two linear (and possibly nonlinear) equations in two unknowns by the elementary algebraic techniques of addition and substitution to eliminate one of the variables.
1. Systems of linear equations We are interested in the solutions to systems of linear equations. A linear equation is of the form 3x 5y + 2z + w = 3: The key thing is that we don’t multiply the variables together nor do we raise powers, nor takes logs or introduce sine and cosines. A system of linear equations is of the form 3x 5y + 2z = 3 ...
