SOLUTION: I need to use the system of equations with square roots
3 sqrt ( a ) +5 sqrt ( b ) =31
5 sqrt ( a ) -5 sqrt ( b ) = -15
Algebra.Com
Question 869161: I need to use the system of equations with square roots
3 sqrt ( a ) +5 sqrt ( b ) =31
5 sqrt ( a ) -5 sqrt ( b ) = -15
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
3 sqrt ( a ) + 5 sqrt ( b ) = 31
5 sqrt ( a ) - 5 sqrt ( b ) = -15
------------------------------------adding eliminates b
8 sqrt(a) + 0 = 16
sqrt(a) = 16/8
sqrt(a) = 2
square both sides
a = 2^2
a = 4
Find b
3*sqrt(4) + 5*sqrt(b) = 31
3(2) + 5*sqrt(b) = 31
5*sqrt(b) = 31- 6
5*sqrt(b) = 25
sqrt(b) = 25/5
sqrt(b) = 5
b = 5^2
b = 25
RELATED QUESTIONS
I need detail solution:
A = ( {{{sqrt(2)}}} + {{{sqrt(3)}}} + {{{sqrt(5)}}})(... (answered by rothauserc)
Simplify: sqrt () 12 - sqrt () 27
a) -sqrt () 3
b) -sqrt () 15
c) -5 sqrt () 3
d)... (answered by checkley77,stanbon)
which of the following square roots is an irrational number?
I got D {{{sqrt(15) }}}
(answered by solver91311)
I was working this problem out and I think i got the right answer but there was some one... (answered by xcentaur,askmemath)
(a) sqrt(10x) * sqrt(8x)
(b) sqrt(24x^4) / sqrt(3x)
(c) 5 /... (answered by Alan3354)
What sort of approach should i do, when im faced with a question such as:
Given that... (answered by robertb)
I really need help with these two problems. Thank you in advance.
Simplify and... (answered by Alan3354)
This is an expression involving square roots using the FOIL method.
(sqrt... (answered by Fombitz)
Simplify: 2 sqrt (3) + 6 sqrt(2) - 4 sqrt(3) + sqrt (2)
a) 8 sqrt(2) - 3 sqrt(3)
b) 6 (answered by Fombitz)