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)