Question

-3x + 5y = -155x - 2y = -101. Find the solution2. Write an equation to replace the second equation so that the system will have infinitely many solutions.

Answer 1

Problem

-3x + 5y = -15

5x - 2y = -10

Solution

For this case we can solve x from the first equation and we got:

3x = 5y +15

x= (5y+15)/3

Now we can replace this value into the second equation and we got:

5((5y+15)/3) -2y = -10

25/3y +25 -2y= -10

And solving for y we got:

(25/3 -2)y =-10-25

19/3 y = -35

y= -105/19

And then we can solve for x and we got:

x= (5*(-105/19) +15)/3 = -80/19