Question

Find three points that solves the equation
2x-3y=-6

Answer 1

EX:(3,2)

Answer 2

pick any number for x and we can solve this.....pick a number

Answer 3

3

Answer 4

okay...now sub 3 in for x and find y

2x - 3y = -6
2(3) - 3y = -6
6 - 3y = -6
-3y = -6 - 6
-3y = -12
y = 4
so one of your points is (3,4)

Answer 5

Ok need 2 more

Answer 6

The best option here is to pick a value for x in the equation above, substitute it in and then solve the remaining variable y. In this way you will get pairs of values (x = something, y = something) which satisfy the equation.

Answer 7

keep doing this...sub any number in for x and find y and you will have your points

Answer 8

2

Answer 9

so sub 2 in for x and solve for y. Try it...I will stay and check it for you

Answer 10

(2,2) ???

Answer 11

2x - 3y = -6
2(2) - 3y = -6
4 - 3y = -6
-3y = -6 - 4
-3y = -10
y = 10/3

some numbers will leave you with a fraction...but thats ok.
another set of points is : (2,10/3)

Answer 12

4

Answer 13

2(4) - 3y = -6
8 - 3y = -6
-3y = -6 - 8
-3y = - 14
y = 14/3

your points are : (4,14/3)

Answer 14

so we have :
(3,4)
(2,10/3)
(4,14/3)