How to solve these simultaneous equations: y = 10 x &#x2212;<!-- − --> 3 and

vestpn

vestpn

Answered question

2022-05-20

How to solve these simultaneous equations: y = 10 x 3 and y = x 2 3 x?
What I got
x = 13 ± 157 2
But I am not sure if this is right.
How would you go around solving this?

Answer & Explanation

rass1k6s

rass1k6s

Beginner2022-05-21Added 13 answers

To check your answers, substitute into the original equations and check whether or not they are satisfied. Your answer is correct!
Regarding "how to proceed":
Put y = y:
10 x 3 = x 2 3 x x 2 13 x + 3 = 0
Solve the resulting quadratic equation (find the zeros).
Jordyn Calhoun

Jordyn Calhoun

Beginner2022-05-22Added 3 answers

You would set the two equations equal to each other since each equation is equal to y. Then,
10 x 3 = x 2 3 x x 2 13 x + 3 = 0 x = 13 ± 157 2
Your answer is indeed ugly, but correct.

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?