Chapter 3: Q. 39 (page 251)

Find the intercepts of the equation $3 x + y = 6$ .

Short Answer

Expert verified

The intercepts of the given equation are (2,0) and (0,6).

Step by step solution

Given information

The equation to find the intercepts is given as $3 x + y = 6$ .

Find the intercept on abscissa

The intercepts are the points where the corresponding variables obtain the value zero.

Hence make the corresponding variables zero to find the required.
Substitute each $y$ by 0 into the given equation to find the intercept on the abscissa.

$\begin{array}{rcl} 3 x + y & = & 6 \\ 3 x + 0 & = & 6 \\ 3 x & = & 6 \\ x & = & \frac{6}{3} \\ x & = & 2 \end{array}$

Find the intercept on ordinate

Now substitute each $x$ by 0 into the given equation and solve to find the required answer.

$\begin{array}{rcl} 3 x + y & = & 6 \\ 3 (0) + y & = & 6 \\ 0 + y & = & 6 \\ y & = & 6 \end{array}$

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Find the intercepts of the equation $3 x + y = 6$ .

Short Answer

Step by step solution

Given information

Find the intercept on abscissa

Find the intercept on ordinate

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Find the intercepts of the equation3x+y=6.

Short Answer

Step by step solution

Given information

Find the intercept on abscissa

Find the intercept on ordinate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Decision Maths

Discrete Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the intercepts of the equation $3 x + y = 6$ .