Answer: one solution
Step-by-step explanation: Given :
2x + 3y = -3 ........................... equation 1
3x + 5y = -9 ........................... equation 2
Solving the system of linear equation by elimination method. We will multiply equation 1 by 3 and equation 2 by 2, then we have
6x + 9y = -9 ........................ equation 3
6x + 10y = -18 .................... equation 4
Subtract equation 3 from equation 4 , ten we have
y = -9
substitute y = -9 into equation 1 to find the value of x , that is
2x + 3y = -3
2x + 3 ( -9 ) = -3
2x - 27 = -3
2x = -3 + 27
2x = 24
x = 12
Therefore , x = 12 and y = -9 . This means that the system has one solution since there is only one value for x and one value for y