Match the system of equations to the number of solutions it has.(4 points)%0D%0APut responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.%0D%0Ay=5x+7 and 3y−15x=18%0D%0A%0D%0A=%0D%0A5%0D%0A%0D%0A+%0D%0A7%0D%0A %0D%0A %0D%0A%0D%0A%0D%0A%0D%0A %0D%0A %0D%0A3%0D%0A%0D%0A−%0D%0A15%0D%0A%0D%0A=%0D%0A18%0D%0Ax−2y=6 and 3x−6y=18%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A6%0D%0A %0D%0A %0D%0A%0D%0A%0D%0A%0D%0A %0D%0A %0D%0A3%0D%0A%0D%0A−%0D%0A6%0D%0A%0D%0A=%0D%0A18%0D%0Ay=23x−1 and y=23x−2%0D%0A%0D%0A=%0D%0A2%0D%0A3%0D%0A%0D%0A−%0D%0A1%0D%0A %0D%0A%0D%0A%0D%0A%0D%0A %0D%0A%0D%0A=%0D%0A2%0D%0A3%0D%0A%0D%0A−%0D%0A2%0D%0A3x+6=y and y=−13x−4

Answer 1

The system of equations:
1) y=5x+7 and 3y−15x=18
has 1 solution.

2) x−2y=6 and 3x−6y=18
has infinitely many solutions.

3) y=23x−1 and y=23x−2
has no solution.

4) 3x+6=y and y=−13x−4
has 1 solution.