lest: Chapter 6 Test Time Remaining: 00:59:30 This Question: 1 pt 11 of 13 (6 co

Question

lest: Chapter 6 Test Time Remaining: 00:59:30 This Question: 1 pt 11 of 13 (6 complete) This Test: 1 Solve the following nonlinear system of equa yx+18 3x +y 0 Select the correct choice below and, if necessary, fll in the answer box to complete your choice. (Simplify your answer.) There-are a finite number of solutions. The solution set is (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are infinitely many solutions. The solution set is (y), where y is any real number. ° C. The solutionset iso lick to select and enter your answer(s) earch

Explanation / Answer

y = -x2 + 18 and

3x + y = 0 => y = -3x

Now , - x2 + 18 = -3x

=> x2 - 3x - 18 = 0

Splitting the middle term:

=> x2 - 6x + 3x - 18 = 0   

=> x(x-6) + 3(x-6) = 0

=> (x-6)(x+3) = 0

=> x = 6 , -3

There are finite number of solutions. The solution set is {6 , -3}

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