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 ->
Square-cubic-other-roots
-> SOLUTION: Find the value of X and Y thats sloves both systems:
5√X - 2√y = 4√2
2√X + 3√y = 13√2
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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.
