To solve the first equation, 3 sqrt(x) - 8 = 0, we first isolate the square root term:
3 sqrt(x) = 8
Then, divide both sides by 3 to solve for x:
sqrt(x) = 8/3
Square both sides to eliminate the square root:
x = (8/3)^x = 64/9
Now, for the second equation, sqrt(5x-6) = 1, we square both sides to eliminate the square root:
5x - 6 = 1
Add 6 to both sides:
5x = 7
Divide by 5 to solve for x:
x = 7/5
Therefore, the solution to the system of equations is x = 64/9 and x = 7/5.
To solve the first equation, 3 sqrt(x) - 8 = 0, we first isolate the square root term:
3 sqrt(x) = 8
Then, divide both sides by 3 to solve for x:
sqrt(x) = 8/3
Square both sides to eliminate the square root:
x = (8/3)^
x = 64/9
Now, for the second equation, sqrt(5x-6) = 1, we square both sides to eliminate the square root:
5x - 6 = 1
Add 6 to both sides:
5x = 7
Divide by 5 to solve for x:
x = 7/5
Therefore, the solution to the system of equations is x = 64/9 and x = 7/5.