Question

Y = 11-x
y = 2x² - 4x + 6

Answer 1

• (- 1, 12), (2.5, 8.5)

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Given system

• y = 11 - x
• y = 2x² - 4x + 6

Solve by elimination

• 2x² - 4x + 6 = 11 - x
• 2x² - 4x + 6 - 11 + x = 0
• 2x² - 3x - 5 = 0
• 2x² - 2 - 3x - 3 = 0
• 2(x² - 1) - 3(x + 1) = 0
• 2(x - 1)(x + 1) - 3(x + 1) = 0
• (x + 1)(2x - 2 - 3) = 0
• (x + 1)(2x - 5)=0
• x = - 1 and x = 2.5

Find y

• y = 11 - (-1) = 12
• y = 11 - 2.5 = 8.5