SOLUTION: Determine the value of k and m of (-3,4) is a solution to each of following systems of equations. A.) y=-2x^2-kx-m Y=mx+1

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Question 924711: Determine the value of k and m of (-3,4) is a solution to each of following systems of equations. A.) y=-2x^2-kx-m
Y=mx+1
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=-2%28-3%29%5E2-k%28-3%29-m
4=-18%2B3k-m
3k-m=-14


4=m%2A%28-3%29%2B1
4=-3m%2B1
3m=-4%2B1
3m=-3
m=-1, use this again in the first equation


k=-5

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the value of k and m of (-3,4) is a solution to each of following systems of equations. A.) y=-2x^2-kx-m
Y=mx+1


Keep it consistent!!! Y+%3C%3E+y

y+=+-+2x%5E2+-+kx+-+m ----- eq (i)

y = mx + 1 --------- eq (ii)

4 = - 3m + 1 ------ Substituting 4 for y and - 3 fox x in eq (ii)

4 - 1 = - 3m

3 =  - 3m

m = 3%2F%28-+3%29, or highlight_green%28-+1%29



y+=+-+2x%5E2+-+kx+-+m

4+=+-+2%28-+3%29%5E2+-+k%28-+3%29+-+%28-+1%29 ----- Substituting 4 for y, - 3 fox x, and - 1 for m in eq (i)

4 = - 2(9) + 3k + 1

4 = - 18 + 3k + 1

4 = - 17 + 3k

4 + 17 = 3k

21 = 3k

k = 21%2F3, or highlight_green%287%29