Respuesta :

Answer:

(2,1)

Step-by-step explanation:

If (0,4) on the line it satisfies the  equations and makes it a true statement. If you plug 0 in for x and 4 in for y you can check and you should get 8=8

You can find the other point in several ways but this is my fav method . You can rearange the equation into y=mx +b  

3x+2y=8

-3x        -3x

2y=-3x+8/Divide everything by 2

y=-3x/2 +4

with this slope is -3x/2 and y is +4

Start at (0,4) move down 3 and right 2 and you get (2,1)

equation, that is, it balances the equation and makes it a true statement.
We can check this by plugging in the numbers.
In the ordered pair given, x =0 and y = 4.
So the equation would look like this:
3(0) + 2(4) = 8
0 + 8 = 8
yes, the equation balances!