[3u-5v=20],[6u-10v=40]

2u+3v=2,4u-6v=0 the value of u= ……….

2u+3v=2,4u-6v=0 then v=……..

Let a,b,c and d are real numbers in GP. Suppose u,v,w satisfy the system of equations u+2v+3w=6,4u+5v+6w=12 and 6u+9v=4 . Further consider the expressions f(x)=(1/u+1/v+1/w)x^(2)+[(b-c)^(2)+(c-a)^(2)+(x-b)^(2)] x+u+v+w=0 and g(x)=20x^(2)+10(a-d)^(2)x-9=0 (u+v+w) is equal to

Let a,b,c and d are real numbers in GP. Suppose u,v,w satisfy the system of equations u+2v+3w=6,4u+5v+6w=12 and 6u+9v=4 . Further consider the expressions f(x)=(1/u+1/v+1/w)x^(2)+[(b-c)^(2)+(c-a)^(2)+(x-b)^(2)] x+u+v+w=0 and g(x)=20x^(2)+10(a-d)^(2)x-9=0 (u+v+w) is equal to

Solve the following system of equations: 8v-3u=5uv,quad 6v-5u=-2uv

Let a,b,c,d be real numbers in G.P. If u,v,w satisfy the system of equations u+2y+3w=6,4u+5v+6w=12 and 6u+9v=4 then show that the roots of the equation ((1)/(u)+(1)/(v)(+)/(w))x^(2)+[(b-c)^(2)+(c-a)^(2)+(d-b)^(2)]x+u+v+w=0 and 20x^^2+10(a-d)^^2x-9=0 ' are reciprocals of each other.

If u -= x-y-6 and v -= 2x-y-12 find the points (s) of intersection of the two loci 21 u +107 v =0 and 5u-133 v =0.

D(u+-v)=D(u)+-D(v)

Solve the following equations 8v-3u=5uv and 6v-5u=2uv

Solve the following system of equations: 8v-3u=5u v ,\ \ \ 6v-5u=-2u v