Respuesta :

Answer:

(0,2.5) and (1,1)

Step-by-step explanation:

Given

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

Required

Determine the points that satisfy the equation

To do this, we substitute values for x and y in the equation.

Let x = 1

Substitute 1 for x in [tex]3x + 2y = 5[/tex]

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

[tex]3 + 2y = 5[/tex]

Make 2y the subject

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

[tex]2y = 2[/tex]

Solve for y

[tex]y = 1[/tex]

Hence, a point is: (1,1)

To determine another point, take x as 0

Substitute 0 for x in [tex]3x + 2y = 5[/tex]

[tex]3(0) + 2y = 5[/tex]

[tex]0 + 2y = 5[/tex]

[tex]2y = 5[/tex]

Solve for y

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

[tex]y = 2.5[/tex]

Hence, another point is (0,2.5)

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