# System of linear equations

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##### Introduction
###### Lessons
1. $\bullet$ The solutions to a system of equations are the points of intersection of the graphs.
$\bullet$ For a system consisting of two linear equations:
There are 3 cases to consider:

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##### Examples
###### Lessons
1. Solving by Elimination
Solve each linear system algebraically by elimination.
1. $3x+4y=11$
$x-4y=-7$
2. $6x-1=2y$
$9x+4=5y$
3. $3(x+2)-(y+7)=-10$
$5(x+1)+(y+3)=19$
2. Solving by Substitution
Solve each linear system algebraically by substitution.
1. $6x-1y=7$
$-9x+2y=7$
2. $3(x+2)-(y+7)=4$
$5(x+1)+4(y+3)=31$
3. $x - y = -1$
$3x + 5y = 21$
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