Chapter 2: Q74. (page 74)

Solve each equation for $y$ .
$3 x - 5 y + 4 = 0$

Short Answer

Expert verified

The required solution is $y = \frac{3 x + 4}{5}$ .

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 $3 x - 5 y + 4 = 0$ .

– Solve for y

$3 x - 5 y + 4 = 0$ (Given equation)

$3 x - 5 y + 4 + 5 y = 0 + 5 y$ (Add $5 y$ to both sides)

$3 x + 4 = 5 y$ (Simplify)

$5 y = 3 x + 4$ (Rearrange)

$\frac{5 y}{5} = \frac{3 x + 4}{5}$ (Divide both sides by 5)

$y = \frac{3 x + 4}{5}$ (Simplify)

So, the required solution is $y = \frac{3 x + 4}{5}$ .

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Solve each equation for $y$ .
$3 x - 5 y + 4 = 0$

Short Answer

Step by step solution

– State the concept

– List the given data

– Solve for y

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Solve each equation for y.3x-5y+4=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

Applied Mathematics

Pure Maths

Geometry

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve each equation for $y$ .
$3 x - 5 y + 4 = 0$