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
<pre>
Keep it consistent!!! {{{Y <> y}}}
{{{y = - 2x^2 - 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/(- 3)}}}, or {{{highlight_green(- 1)}}}

{{{y = - 2x^2 - kx - m}}}
{{{4 = - 2(- 3)^2 - k(- 3) - (- 1)}}} ----- 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 = {{{21/3}}}, or {{{highlight_green(7)}}}