Question

How many solutions does this system have? 2x+3y=-3 3x+ 5y=-9

Answer 1

Answer:

Step-by-step explanation:

2x + 3y = -3                     3x + 5y = -9

3y = -2x - 3                      5y = -3x - 9

y = -2/3x - 1                       y = -3/5x - 9/5

slope = -2/3                      slope = -3/5

y int = -1                             y int = -9/5

to find the answer, u must compare the slopes and the y intercepts.

if they have the same slope and different y int's, then there is no solution

if they have the same slope and the same y int's, they have infinite solutions

if they have different slopes and different y int's, they have 1 solution

so this system has 1 solution <===