Solve the following system using elimination Be sure to prov

Solve the following system using elimination. Be sure to provide an in-between step and conclude how many solutions there are to the system. If there is only one solution, write that solution as an ordered pair

9x + 3y = 15
3x = 5 - y

Solution

9x + 3y = 15 ------- (1)

3x = 5 - y

==> 3x +y = 5

Multiply by three on both sides

==> 3(3x +y) = 3(5)

==> 9x + 3y = 15 ------ (2)

Equations (1) and (2) are equal

==> There are infinite number of solutions.