Chapter 4: Q 22. (page 429)

In the following exercises, complete the table to find the solutions to each linear equation :
$y = 3 x - 1$
x y (x,y)
0

2

-1

Short Answer

Expert verified

When,

$x = 0, y = - 1, (x, y) = (0, - 1) x = 2, y = 5, (x, y) = (2, 5) x = - 1, y = - 4, (x, y) = (- 1, - 4)$

Step by step solution

Given information.

The given equation is $y = 3 x - 1$ .

Calculation.

The equation is : $y = 3 x - 1 .$

We will put the values of $x$ in the equation to find $y$ and $(x, y)$ .

When, $x = 0,$

$y = 3 (0) - 1 = - 1$

Therefore, $y = - 1$ and $(x, y) = (0, - 1)$ .

When, $x = 2$ ,

$y = 3 (2) - 1 = 5$

Therefore, $y = 5$ and $(x, y) = (2, 5)$ .

When, $x = - 1,$

$y = 3 (- 1) - 1 = - 4$

Therefore, $y = - 4$ and $(x, y) = (- 1, - 4)$ .

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In the following exercises, complete the table to find the solutions to each linear equation :
$y = 3 x - 1$
x y (x,y)
0

2

-1

Short Answer

Step by step solution

Given information.

Calculation.

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In the following exercises, complete the table to find the solutions to each linear equation :
$y = 3 x - 1$
x y (x,y)
0

2

-1