Chapter 2: Q6. (page 65)

Write each equation in standard form. Identify $A, B$ and $C$ .
$y = 3 x - 5$

Short Answer

Expert verified

The required values are $A = 3, B = - 1, C = 5$ .

Step by step solution

– Standard form of a linear equation.

The standard form of a linear equation is $A x + B y = C$ , where $A \geq 0, A$ and $B$ are not both zero.

– Rewrite the given linear equation in the standard form.

The given equation is:

$y = 3 x - 5$

Subtract $3 x$ from both sides.

$\begin{array}{l} y - 3 x = 3 x - 5 - 3 x \\ - (3 x - y) = - 5 \end{array}$

Multiply both sides by -1 .

$\begin{array}{l} - (3 x - y) \times (- 1) = - 5 \times (- 1) \\ 3 x - y = 5 \end{array}$

– Find the required values.

Now compare the equation $3 x - y = 5$ with the standard form of the linear equation $A x + B y = C$ to find the values of $A, B, C$ .

$\begin{array}{l} A = 3 \\ B = - 1 \\ C = 5 \end{array}$

Thus, the required values are $A = 3, B = - 1, C = 5$ .

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Write each equation in standard form. Identify $A, B$ and $C$ .
$y = 3 x - 5$

Short Answer

Step by step solution

– Standard form of a linear equation.

– Rewrite the given linear equation in the standard form.

– Find the required values.

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Write each equation in standard form. Identify A,Band C.y=3x-5

Short Answer

Step by step solution

– Standard form of a linear equation.

– Rewrite the given linear equation in the standard form.

– Find the required values.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Pure Maths

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Write each equation in standard form. Identify $A, B$ and $C$ .
$y = 3 x - 5$