How many solutions does this system have?
2 x +3y = -3
3x + 5 = -9

x = 12 and y = -9

                                            Explanation:

Given:

2 x +3y = -3

3x + 5y = -9

make x the subject:

_____equation 1

______equation 2

solve them simultaneously:

now solve for x:

coordinates where they both intersect is (12,-9) at one point so they have one solution

x = 12

y = -9

The system has one solution as it has one point of intersection at (12, -9)

Step-by-step explanation:

Equation 1:  

Equation 2:  

Rewrite equation 1 to make the subject:

Substitute this into equation 2 and solve for :

Substitute y = -9 into one of the equations to find :

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step-by-step explanation: