Systems of equations
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- 3)
- 3)
- section 2: Chapter 3 Systems of Equations: Substitution
- 2)
- 2)
- 1)
- 1)
- 3x-6x-6=21
- 3x-6x-6=21
- 3x-3(2x+2)=21
- 3x-3(2x+2)=21
- Y=2x+2 3x-3y=21
- Y=2x+2 3x-3y=21
- 3x-3(2x+2)=21
- 3x-3(2x+2)=21
- 4)
- 3x-6x-6y=21
- -3x-6y=21
- Hi, I'm Zac and I am having trouble understanding this lesson. Can you help?
- section 2: Chapter 3 Systems of Equations: Substitution
- First, we substitute the x or y into the other equation.
- 2)
- 1)
- 3x-3(2x+2)=21
- Y=2x+2 3x-3y=21
- section 2: Chapter 3 Systems of Equations: Substitution
- To find y, you must plug the value of the variable into one of the equations
- 6) y=2(-9)+2 y=-18+2 y=-16
- section 2: Chapter 3 Systems of Equations: Substitution
- Oh sure. I'm a mathematician. What is it that you need help with?
- Oh, sure. I'm a good mathematician. What is it that you need help with?
- I don't understand how to find X and Y when we use Substitution.
- section 2: Chapter 3 Systems of Equations: Substitution
- We can then distribute the 3 into the parenthesis.
- I get it now since we don't need the parenthesis in the equation, it makes things more complicated.
- section 2: Chapter 3 Systems of Equations: Substitution
- Finally, you write your answer as a coordinate pair.
- 6) y=2(-9)+2 y=-18+2 y=-16
- 7) (x,y) (-9,-16)
- section 2: Chapter 3 Systems of Equations: Substitution
- Alright! Let me show you an example.
- okay cool, thank you!
- section 2: Chapter 3 Systems of Equations: Substitution
- Next, combine like-terms in the equation.
- section 2: Chapter 3 Systems of Equations: Substitution
- So, we start off with the equations Y=2x+2 & 3x-3y=21. (Make sure at least one of the equations is in slope-intersect form.)
- 1)
- Y=2x+2 3x-3y=21
- section 2: Chapter 3 Systems of Equations: Substitution
- 3)
- Now, with the remaining numbers divide both sides by the coefficient and you are left with the value of x.
- 2)
- 1)
- 3x-6x-6=21
- 3x-3(2x+2)=21
- Y=2x+2 3x-3y=21
- 3x-3(2x+2)=21
- 4)
- 3x-6x-6=21
- 5) -3x=27 x=-9
- -3x-6=21
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