SOLUTION: I need help solving this question:
Solve the following system for x and y:
{{{ sqrt(x)-2sqrt(y)=-1}}}
{{{ 3sqrt(x)+4sqrt(y)=17}}}
Algebra.Com
Question 164969: I need help solving this question:
Solve the following system for x and y:
Found 2 solutions by ankor@dixie-net.com, Mathtut:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the following system for x and y:
:
Multiply the 1st equation by 2, add to the 2nd equation:
--------------------------------addition eliminates y, find x
; divide both sides by 5
= 3
Square both sides
x = 9
:
Find y using the 1st equation, substitute 9 for x
Divide both sides by -2
Square both sides
y = 4
:
:
Check solution in the 2nd original equation:
3(3) + 4(2) = 17
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
solve similtaneously: multiply top equation by -3 then add to 2nd equation
-3() you get
add to and the x terms cancel out so you end up with . now square both sides and you get 100y=400 y=4 plugin y=4 to either equation, I chose the 1st, to get find x. sqrt(x)-2sqrt(4)=-1 so sqrt(x)-2(2)=-1 and sqrt(x)=3 now square both terms to get rid of sqrt(x) and your left with x=9
answer: x=9
y=4
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