Question 17 of 26beginner🔧 ApplyShort Answer1 mark

Given that y=x2+6y = x^2 + 6 and x=−1x = -1, what can we conclude about the value of yy?

Correct Answer

y = 7

Exercise: EXERCISE A1.2 | Q: 4 | (Chapter: 6)
For More Understanding

Explanation

Following the pattern shown in Example 7 of the textbook context, when we are given an equation relating y and x, and a specific value for x, we substitute the value into the equation. The textbook demonstrates this approach: 'Given the two hypotheses, we get y = -6(3) + 5 = -13.' Similarly, substituting x = -1 into y = x² + 6 gives y = (-1)² + 6 = 1 + 6 = 7.

Solution Steps

  1. Step 1: Given y = x² + 6 and x = -1

  2. Step 2: Substitute x = -1 into the equation: y = (-1)² + 6

  3. Step 3: Simplify: y = 1 + 6 = 7

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