# Find solutions such that A: no solution, B: Unique solution C: Infinitely many

• Sep 7th 2009, 11:47 AM
nomana123
Find solutions such that A: no solution, B: Unique solution C: Infinitely many
Find solutions such that A: no solution, B: Unique solution C: Infinitely many

Question Details:

X1 + hX2 = 2
4X1+8X2= k

I get that h = -15 will be inconsistent (no solution)
h = Real number expect -15 will be unique ( i think)
I don't know how i will get infinitely many.
• Sep 7th 2009, 01:16 PM
skeeter
Quote:

Originally Posted by nomana123
Find solutions such that A: no solution, B: Unique solution C: Infinitely many

Question Details:

X1 + hX2 = 2
4X1+8X2= k

I get that h = -15 will be inconsistent (no solution)
h = Real number expect -15 will be unique ( i think)
I don't know how i will get infinitely many.

I'm assuming the X1 and X2 are subscripted.

\$\displaystyle x_1 + hx_2 = 2\$

\$\displaystyle 4x_1 + 8x_2 = k\$

no solution if \$\displaystyle h = 2\$ and \$\displaystyle k \ne 8\$

unique solution if \$\displaystyle h \ne 2\$

infinite solutions if \$\displaystyle h = 2\$ and \$\displaystyle k = 8\$
• Sep 7th 2009, 02:01 PM
nomana123