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What are the solutions to the simultaneous equations of y plus 1 equals x and y equals x square -6x plus 5?
Wiki User
∙ 6y ago
- y + 1 = x
- y = x² - 6x + 5
Rearrange {1} to make y the subject, substitute for y in the second and solve the quadratic:
y + 1 = x → y = x - 1
y = x² - 6x + 5
→ x - 1 = x² - 6x + 5
→ x² - 7x + 6 = 0
→ (x - 1)(x - 6) = 0
→ x = 1 or 6
→ x = 1: y = 1 - 1 = 0
& x = 6 → y = 6 - 1 = 6
→ the solutions are the points (1, 0) and (6, 5)
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∙ 6y ago
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