Studdy AI Logo
Math  /  Algebra

Question10. xy=12y−x\sqrt{x y}=12 y-x at (9,1)(9,1)

Studdy Solution

STEP 1

1. We are given the equation xy=12y−x \sqrt{x y} = 12 y - x .
2. We need to verify or find information about this equation at the point (9,1)(9,1).

STEP 2

1. Substitute the point (9,1)(9,1) into the equation.
2. Simplify the equation to verify if the point satisfies it.

STEP 3

Substitute x=9 x = 9 and y=1 y = 1 into the equation xy=12y−x \sqrt{x y} = 12 y - x .
9⋅1=12⋅1−9 \sqrt{9 \cdot 1} = 12 \cdot 1 - 9

STEP 4

Simplify both sides of the equation:
The left side:
9⋅1=9=3 \sqrt{9 \cdot 1} = \sqrt{9} = 3
The right side:
12⋅1−9=12−9=3 12 \cdot 1 - 9 = 12 - 9 = 3

STEP 5

Compare both sides of the equation:
3=3 3 = 3
Since both sides are equal, the point (9,1)(9,1) satisfies the equation.
The point (9,1)(9,1) satisfies the equation xy=12y−x\sqrt{x y} = 12 y - x.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord