Question

How many solutions does this system of

equations have?
3x + 2y = 6
-4x+6y= 15

a.exactly one

b.exactly two
c.none

d.infinitely many​

Answer 1

Explanation:

3x + 2y = 6

2y = -3x + 6

y = -3/2x + 3.....slope here is -3/2 and y int is 3

-4x + 6y = 15

6y = 4x + 15

y = 2/3x + 5/2.....slope here is 2/3 and y int is 5/2

different slopes, different y int means exactly ONE SOLUTION