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.
ProblemExplanations
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3x + 2y = 8
x = 3y = 10
Find y
3(3y + 10) + 2y = 8
9y + 30 + 2y = 8
11y + 30 = 8
11y = -22
y = -2Find 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 = -2We 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 = 1Then Find y
5x + y = -2
y = -5x -2
y = -5(-1)-2
y = 5-2
y = 3Substituion Method The substitution method is a useful technique for solving systems in which a variable has a coefficient of 1.
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