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Transcript
Lesson 13-5: Elimination Using Multiplication
p.572 - 577
Objective: to solve systems of equations by the elimination method using
multiplication and addition/subtraction.
Ex 1| Solve
2x  3y  9
8x  5y  19
1. If we add or subtract these equations, will one of the variables become
zero?
2. If we multiply one of the equations by some number, will we then be
able to add or subtract the equations?
3. The __________ equation needs to be multiplied by ______.
4.
2x  3y  9
8x  5y  19
5. To eliminate the _____ variable we need to ____________ the two
equations.
6.
___ x  ___ y  ___
(
) ___x  ___ y  ___
7. Plug in your _____ value to get your ______ value.
8. Check your coordinates.
Ex 2| Solve
5x  6y  25
4x  2y  3
1. If we add or subtract these equations, will one of the variables become
zero?
2. If we multiply one of the equations by some number, will we then be
able to add or subtract the equations?
3. The __________ equation needs to be multiplied by ______.
4.
5x  6y  25
4x  2y  3
5. To eliminate the _____ variable we need to ____________ the two
equations.
6.
___ x  ___ y  ___
(
) ___x  ___ y  ___
7. Plug in your _____ value to get your ______ value.
8. Check your coordinates.
Ex 3| Solve
2x  y  6
3x  3y  9
1. If we add or subtract these equations, will one of the variables become
zero?
2. If we multiply one of the equations by some number, will we then be
able to add or subtract the equations?
3. The __________ equation needs to be multiplied by ______.
4.
2x  y  6
3x  3y  9
5. To eliminate the _____ variable we need to ____________ the two
equations.
6.
___ x  ___ y  ___
(
) ___x  ___ y  ___
7. Plug in your _____ value to get your ______ value.
8. Check your coordinates.
HW: practice 13-5/evens