Step-4

Title: Find the value of x/y

Grade: 7-a Lesson: S4-L7

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the postive value of \$ x/y\$:
\$ (16x^2 + 9y^2)/(xy) = 24 \$

2

Hint

Moving xy to left side

\$ (16x^2 + 9y^2) = 24(xy) \$

3

Step

After simplification

\$ 16x^2 - 24xy + 9y^2 = 0 \$

4

Step

Using identity \$a^2 - 2ab + b^2 = (a - b)^2\$

\$ (4x - 3y)^2 = 0 \$

5

Step

Applying squareroot on both sides

\$ \sqrt(4x - 3y)^2 = \sqrt0 \$

6

Step

Cancelling Square & Squareroot

\$ (4x - 3y) = 0 \$

7

Step

Moving -3y to left side

\$ (4x = 3y) \$

8

Step

Transforming the above equation into \$ x/y \$ form

\$ 4x = 3y \$

9

Step

After simlification

\$ 4x/y=3 \$

10

Step

After Transforming the above equation into \$ x/y \$

\$ x/y=3/4 \$

11

Step

The positive valve of \$ x/y \$ is

\$ x/y=3/4 \$

12

Answer

A

Tutor: Questions

Seq Type Question Audio

1

Problem

What did you learn from this problem?

2

Clue

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3

Hint

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4

Step

What did you learn from the Steps?

5

Step

How can we improve the Steps?


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