Answer:

x=0

3x-5y=2

3(0) -5y=2

0-5y=2

Answer:

The three solutions of the given linear equation are:

[tex](1,0.2),(2,0.8),(4,2)[/tex]

Explanation:

Given

The linear equation is given by;

[tex]3x - 5y = 2[/tex]

Concept used

Take a random number as one of the variables, plug it into the given equation, then solve it for the other variable.

Solution

First solution:

Let us assume that x=1

Substitute this in the given equation;

[tex]3(1) - 5y = 2 [/tex]

On simplifying the above equation, we obtain;

[tex]3- 5y = 2 \\ - 5y = - 1 \\ y = \frac{1}{5} \\ y = 0.2[/tex]

Therefore, one of the solutions of the given equation is:

[tex](x,y) = (1,0.2)[/tex]

Second solution:

Let us assume that x=2

Substitute this in the given equation;

[tex]3(2) - 5y = 2 [/tex]

On simplifying the above equation, we obtain;

[tex]6 - 5y = 2 \\ - 5y = - 4 \\ y = \frac{4}{5} \\ y = 0.8 [/tex]

Therefore, one of the solutions of the given equation is:

[tex](x,y) = (2,0.8)[/tex]

Third solution:

Now, let us assume that x=4

Substitute this in the given equation;

[tex]3(4) - 5y = 2 [/tex]

On simplifying the above equation, we obtain;

[tex]12 - 5y = 2 \\ - 5y = - 10 \\ y = \frac{10}{5} \\ y = 2[/tex]

Therefore, one of the solutions of the given equation is:

[tex](x,y) = (4,2)[/tex]