Final answer:
To solve for x and y in the given equations, rearrange equation 2 to get x in terms of y. Substitute this value into equation 1 and solve for y. Substitute the value of y back into equation 2 to solve for x.
Step-by-step explanation:
To solve for x and y in the given equations:
Equation 1: 3x³ = 9y
Equation 2: 4x = 51y
If we solve these equations simultaneously, we can find the values of x and y that satisfy both equations. Rearranging equation 2, we have x = 51y/4. Substituting this value of x into equation 1, we get 3(51y/4)³ = 9y.
Simplifying, we have (51y)³/4³ = 9y. Expanding and simplifying further we get 11,357y³ = 1,944y. Dividing both sides by y, we have 11,357y² = 1,944. Solving for y, y² = 1,944/11,357. Therefore, y = ±√(1,944/11,357).
Substituting this value of y back into equation 2, we can solve for x. Using the positive value of y, we have x = 51(√(1,944/11,357))/4. Evaluating this expression will give us the value of x.