Question

3x+2y=5 from.a given equation, find two points that will satisfy the equation

Answer 1

(0,2.5) and (1,1)

Explanation:

Given

`3x + 2y = 5`

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
`3x + 2y = 5`

`3(1) + 2y = 5`

`3 + 2y = 5`

Make 2y the subject

`2y = 5 - 3`

`2y = 2`

Solve for y

`y = 1`

Hence, a point is: (1,1)

To determine another point, take x as 0

Substitute 0 for x in
`3x + 2y = 5`

`3(0) + 2y = 5`

`0 + 2y = 5`

`2y = 5`

Solve for y

`y = (5)/(2)`

`y = 2.5`

Hence, another point is (0,2.5)