Find all solutions of the system of equations.\begin{cases}x^{4}+y^{3}=1

Nannie Mack

Nannie Mack

Answered question

2021-10-01

Find all solutions of the system of equations.
{x4+y3=173x4+5y3=53

Answer & Explanation

Laaibah Pitt

Laaibah Pitt

Skilled2021-10-02Added 98 answers

Step 1:-
Given:
x4+y3=17
3x4+5y3=53
Step 2:-
Solution:
x4+y3=17...(1)
3x4+5y3=53...(2)
Multiply by 3 in equation (1)
And multiply by 1 in equation (2)
So, 3x4+3y3=51...(3)
And, 3x4+5y3=53...(4)
Solve equation (3) and equation (4)
3x4+5y3=53
3x4+3y3=51
2y3=2
y3=1
y=1
Put the value of y in equation (1)
x4+(1)3=17
x4+1=17
x4=171
x4=16
x=2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?