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MA 153
Lesson 32 Outline
Lesson 32
Section 9.2 Systems of Equations
Solve a system of equations:
(1)
By substitution
(2)
By elimination (today)
Given a system of two equations and two unknowns, you can:
(1)
interchange the equations
(2)
multiply or divide one equation by a number (both sides)
(3)
Add the left sides of the equations and add the right sides of the equations
Goal of elimination:
eliminate one of the two variables
Example:
Solve:
(a)
23
28
xy
+=
⎧
⎪
⎨
−=
⎪
⎩
2

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11
5
32
2
1
3
cd
⎧
+=
⎪
⎪
⎨
⎪
−=
−
⎪
⎩
(c)
23 5
691
xy
⎧
⎪
⎨
−+ =
⎪
⎩
2

(d)
52
31
5 6
xy
−=
⎧
⎪
⎨
⎪
⎩
Example:

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