Chapter 2: Q75. (page 74)

PREREQUISITE SKILL Solve each equation for $y$ .
75. $2 x + 3 y - 11 = 0$

Short Answer

Expert verified

The required solution is $y = \frac{11 - 2 x}{3}$ .

Step by step solution

– State the concept

An equation solved for $y$ gives an equation where $y$ is the only thing on the left-hand side and the other terms are on the right-hand side.

– List the given data

The given equation is $2 x + 3 y - 11 = 0$ .

– Solve for y

$2 x + 3 y - 11 = 0$ (Given equation)

$2 x + 3 y - 11 - 3 y = 0 - 3 y$ (Subtract $3 y$ from both sides)

$2 x - 11 = - 3 y$ (Simplify)

$- 3 y = 2 x - 11$ (Rearrange)

$\frac{- 3 y}{- 3} = \frac{2 x - 11}{- 3}$ (Divide both sides by -3)

$y = \frac{11 - 2 x}{3}$ (Simplify)

So, the required solution is $y = \frac{11 - 2 x}{3}$ .

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PREREQUISITE SKILL Solve each equation for $y$ .
75. $2 x + 3 y - 11 = 0$

Short Answer

Step by step solution

– State the concept

– List the given data

– Solve for y

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PREREQUISITE SKILL Solve each equation for y.75. 2x+3y-11=0

Short Answer

Step by step solution

– State the concept

– List the given data

– Solve for y

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Applied Mathematics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

PREREQUISITE SKILL Solve each equation for $y$ .
75. $2 x + 3 y - 11 = 0$