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Solve by Elimination
Section 6.3 pages 350-356
Steps to Solve by Elimination
1. Write the system so like terms are aligned.
2. Add or Subtract the entire equation.
3. Substitute the answer from step 2 into one
of the equations to solve for the other variable.
π‘†π‘œπ‘™π‘£π‘’ π‘‘β„Žπ‘’ π‘†π‘¦π‘ π‘‘π‘’π‘š
4π‘₯ + 6𝑦 = 32
3π‘₯ βˆ’ 6𝑦 = 3
π‘†π‘œπ‘™π‘£π‘’ π‘‘β„Žπ‘’ π‘†π‘¦π‘ π‘‘π‘’π‘š
4π‘₯ βˆ’ 3𝑦 = 3
4π‘₯ βˆ’ 5𝑦 = 5
π‘†π‘œπ‘™π‘£π‘’ π‘‘β„Žπ‘’ π‘†π‘¦π‘ π‘‘π‘’π‘š
4𝑦 + 3π‘₯ = 22
3π‘₯ βˆ’ 4𝑦 = 14
π‘‡β„Žπ‘’ π‘ π‘’π‘š π‘œπ‘“ π‘‘π‘€π‘œ π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘  𝑖𝑠 24.
𝐹𝑖𝑣𝑒 π‘‘π‘–π‘šπ‘’π‘  π‘‘β„Žπ‘’ π‘“π‘–π‘Ÿπ‘ π‘‘ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘šπ‘–π‘›π‘’π‘  π‘‘β„Žπ‘’ π‘ π‘’π‘π‘œπ‘›π‘‘ π‘›π‘’π‘šπ‘π‘’π‘Ÿ 𝑖𝑠 12.
π‘Šβ„Žπ‘Žπ‘‘ π‘Žπ‘Ÿπ‘’ π‘‘β„Žπ‘’ π‘‘π‘€π‘œ π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘ ?
π‘Šβ„Žπ‘Žπ‘‘ π‘‘π‘€π‘œ π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘  β„Žπ‘Žπ‘£π‘’ π‘Ž π‘ π‘’π‘š π‘œπ‘“ 169 π‘Žπ‘›π‘‘ π‘Ž π‘‘π‘–π‘“π‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ π‘œπ‘“ 83?
Homework
page 354 #7-22

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Solve Systems of Equations by Elimination