Tiffany's Algebra II  Help   Session



 
This page was designed to help you with your Algebra II problems. Each problem will be explained step by step to make it easier to understand.
 

Problem
 Explanations

 
3x + 2y = 8
x = 3y = 10
 

Find y                                               
3(3y + 10) + 2y = 8
9y + 30 + 2y = 8
11y + 30 = 8
11y = -22
y = -2

               Find x                      

x = 3(-2) + 100
-6 + 10
x = 4

 
Linear Equations

1. Write both equations in the form Ax + By = C
2. Clear any decimals or fractions
3. Choose a variable to eliminate
4. Make the chosen variable's term additive inverses by multiplying one or both equations by a number
5. Eliminate the variable by adding the equations
6. Substitution to solve for the remaining variable


Kill the Variables!
3x - 4y = -15
5x + y = -2

We solve the first equation for y because it's y term has a coefficient of 1.
3x- 4(-5x -2) = -15
3x + 20x + 8 = -15
23x + 8 = -15
23x = -23
x = 1

 Then Find y
5x + y = -2
y = -5x -2
y = -5(-1)-2
y = 5-2
y = 3

Substituion Method

The substitution method is a useful technique for solving systems in which a variable has a coefficient of 1.


 


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