How many solutions does this system have? 2 x + 3 y = negative 3. 3 x + 5 y = negative 9. one two an infinite number no solution

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

One solution

Step-by-step explanation:

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