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Algebra 38 - Why the Elimination Method Works
This chapter takes a geometric look at the logic behind adding equations β the essential technique used when solving systems of equations by elimination.
Brian McLogan
Solving a linear system of two equations by graphing
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
Solving a one step equation using division with decimals
π Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication...
Brian McLogan
Learn to identify the slope & y intercept when an equation is not in slope intercept form
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
Determining the slope & y intercept when an equation is not in slope intercept form ex 14
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Let's Tute
Solving Linear Equations by Graphical Method: Finding the Number of Solutions for Parallel Lines
In this video, we solve a problem based on graphical method for a pair of linear equations. We draw graphs for the two equations and find the number of common points between the lines to determine the number of solutions. We also show...
Brian McLogan
Why do we need to know translating sentences
π Learn how to write an algebraic expression from verbal sentence as well as writing out a sentence from a algebraic expression. To do this we need to know what words we use to express operations such as addition, multiplication,...
Brian McLogan
Graphing a horizontal linear equation using a table of values, y = 5
π Learn how to graph linear equations with one variable. When given a linear equation with one variable in the form x = a or y = c, the two forms of linear equations results in a vertical and horizontal lines respectively. The graph of...
Brian McLogan
How to solve an equation using the addition property of equality
π Learn how to solve a one step equation. An equation is a statement stating that two values are equal. A one step equation is an equation whose solution can be obtained by performing only one step of operation on the equation. To solve...
Brian McLogan
What do you need to know to solve one step equations
π Learn all about the processes and definitions for solving linear equations. You will gain a better understanding about the vocabulary and steps used to solve liner equations such as how to isolate an equation and apply inverse...
Brian McLogan
Learn to write the equation in slope intercept form & identify the slope & y intercept ex 1
π Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
Given the slope and y intercept graph the equation, slope = 5, y-int = 8
π Learn how to graph linear equations given the slope and the y-intercept. When given the slope and the y-intercept of a linear graph, we first plot the y-intercept and using the slope, we can determine the rise and the run of the...
Let's Tute
Solving Linear Equations Using Substitution Method
In this video, we learn how to solve a pair of linear equations using the substitution method. The teacher walks us through the steps of substituting one equation into the other and solving for one variable, then plugging that value into...
Brian McLogan
Solve a literal equation to rewrite in slope intercept form 4x= 3y-7 for y
π Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. To do this, we...
Brian McLogan
How to solve a one step equation using the division property of equality with a fraction
π Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication...
Curated Video
Determining Infinitely Many Solutions in a System of Linear Equations by Graphing
In this video, the teacher explains how to determine if a system of two linear equations in two variables has infinitely many solutions by graphing. The teacher reviews the slope-intercept form of an equation and demonstrates how to...
Brian McLogan
How to solve using the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Using substitution on a basic system of equations problem
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Given an equation not in slope intercept form, learn how to find slope & y intercept ex 1
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
Learning to solve a two step equation with one fraction
π Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...
Brian McLogan
Use substitution to solve a system of equations with variables n and m
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Learn how to solve a system of equations by substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Using a multiplier with one equation to use the add method to solve the system of equation
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
Graph the equation when given the slope and y intercept, slope = 3 and y-int = 10
π Learn how to graph linear equations given the slope and the y-intercept. When given the slope and the y-intercept of a linear graph, we first plot the y-intercept and using the slope, we can determine the rise and the run of the...