SOLUTION: Find the value of X and Y thats sloves both systems:
5√X - 2√y = 4√2
2√X + 3√y = 13√2
Algebra.Com
Question 191319: Find the value of X and Y thats sloves both systems:
5√X - 2√y = 4√2
2√X + 3√y = 13√2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Please be careful with your terminology. You have two equations, but together they only make one system. You can't solve either of the the equations individually, you can only solve the system.
First a word about method. Either substitution or elimination works, but having done it both ways for this problem, elimination is far simpler.
1 
2 
Multiply equation 1 by 2 and equation 2 by -5:
3 
4 
Add Equation 3 to Equation 4:
5 
Divide by -19
Square both sides:
Substitute this value into either equation 1 or 2, then solve for x:
Checking the answers is left as an exercise for the student.
John
RELATED QUESTIONS
If x= √(3+√(2÷√(3−√(2) and y = 1, the value of x -y divided (answered by mananth)
Find y'
y= 2√x- 1... (answered by Alan3354)
Rationalize and simplify:
(3√y)/(-3√y+2√x)
(answered by josgarithmetic)
√(X-2)=... (answered by funmath)
Please help.
Rationalize the denominator of √x+√y/√x-√y... (answered by mananth)
solve 2√y + 5√y
(answered by jim_thompson5910)
Can someone please help?
Expand (x-2√y)(x+2√y) and simplify. Assume y... (answered by Alan3354)
√x-3 = √x+2 -... (answered by ankor@dixie-net.com)
√(2x+1)+√(x-3)=2 (answered by stanbon,MathTherapy,ikleyn)