Chapter 2: Q. 2.61 (page 134)

Solve the formula $4 x + 7 y = 9$ for $y$ .

Short Answer

Expert verified

The solution for $y$ is $y = \frac{9 - 4 x}{7}$ .

Step by step solution

Step 1. Given information

The given formula is $4 x + 7 y = 9$

Step 2. Isolate y on one side of the formula.

Subtract $4 x$ from both sides to isolate the term with $y$ and simplify as shown below:

$4 x + 7 y = 9 4 x - 4 x + 7 y = 9 - 4 x 7 y = 9 - 4 x$

Step 3. Make coefficient of y as 1.

Divide by 7 on both sides to make coefficient of $y$ as 1 as shown below:

$7 y = 9 - 4 x \frac{7 y}{7} = \frac{9 - 4 x}{7} y = \frac{9 - 4 x}{7}$

Step 4. Final answer

The given formula $4 x + 7 y = 9$ is solved for $y$ and the solution is $y = \frac{9 - 4 x}{7}$ .

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Solve the formula $4 x + 7 y = 9$ for $y$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Isolate y on one side of the formula.

Step 3. Make coefficient of y as 1.

Step 4. Final answer

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Solve the formula 4x+7y=9fory.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Isolate y on one side of the formula.

Step 3. Make coefficient of y as 1.

Step 4. Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Mechanics Maths

Pure Maths

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the formula $4 x + 7 y = 9$ for $y$ .