8. Goal: eliminate a variable!
through addition or subtraction
Turn a variable
into ZERO
9. What is linear combination?
linear
solving a system of linear equations by
eliminating a variable by adding or
subtracting the equations.
aka addition-and-subtraction method
aka elimination method
10.
11. Do the following systems meet the criteria?
2x + 5y = -6
9x - 2y = 12
2x + 3y = 14
3x + 6y = 4
6x + y = 2
x + y = 16
3x - y = 7
2x + 2y = 8
x + y = -8
5x - 8x = 22
x - y = 10
5x + 8x = -19
12. Do the following systems meet the criteria?
2x + 5y = -6
9x - 2y = 12
2x + 3y = 14
3x + 6y = 4
6x + y = 2
x + y = 16
3x - y = 7
2x + 2y = 8
x + y = -8
5x - 8x = 22
x - y = 10
5x + 8x = -19