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63 Solving Systems
by Elimination
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In math, eliminating one variable makes it easier to focus on/solve for another variable.
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Steps:1.
2.
Line up everything: variables & equal signs.
Manipulate equation so that one variable eliminates (poof)!
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There are
many way
s to
eliminate a
variable; l
ook for
the easiest
.
Avoid decimals and fractions if possible
because they usually lead to mistakes.
Remember what you do to one side of an equation, do to the entire other side.
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Directions: Solve each system using elimination.
(7, 8)#1
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Directions: Solve each system using elimination.
#2(‐3, ‐4)
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(0, ‐1)
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What should your response be if you end up with something like:
3 = 12
No solution
because
they would be parallel lines.
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What should your response be if you end up with something like:
3 = 3
Infinitely many solutions
becausethey would be coinciding
lines.
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