Question

Give the geometrical representation of 3x + 1 = 2x – 4 as an equation
(i) in one variable
(ii) two variables.

Answer 1

Answer:

x= -5

Step-by-step explanation:

3x +1=2x-4

= -2x+3x=-4-1

= x=-5

equation

3x+1=2x -4

= 3 x -5 +1=2 x -5 -4

= -15+1 =-10-4

= -14=-14

Answer 2

Answer:

The geometrical representation in one and two variables is shown in the figure.

Step-by-step explanation:

Consider the equation as follows:

$3x+1=2x-4$

Subtracting $2x$ from both the sides as follows:

⇒ $3x+1-2x=2x-4-2x$

⇒ $x+1=-4$

Now, subtract the number 1 from both sides as follows:

⇒ $x+1-1=-4-1$

⇒ $x=-5$

Thus, the simplified form of the given equation is $x=-5$.

(a) In one variable

The equation $x=-5$ is an equation in one variable.

Thus, the geometrical representation is shown in the figure.

(b) In two variables

The equation $x=-5$ in two variables is,

$x+0\cdot y=-5$

Here, the coefficient of $y$ is zero.

Thus, the geometrical representation is shown in the figure.

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