One number is 1 more than 2 times another. Their product is 10. Find the numbers.

1 answer:

Taya2010 [7]3 years ago

3 0

Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.

In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.

this means our two numbers are 5 and 2

You might be interested in

Which statement correctly identifies the line of reflection?

Alchen [17]

Answer:

the triangles are reflected across the line y= -x

hope this helps

Step-by-step explanation:

4 0

3 years ago

PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE

Zina [86]

Answer and Explanation:

Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?

This problem can be represented by $3x+3\leq 30$ .