How do I solve this?

Answer:
x = -1
y = -1
Step-by-step explanation:
3x - y = -2
2x + y = -3
Multiply equation 1 by 2 and equation 2 by 3
We have
2x3x - 2xy = 2x-2
3x2x + 3xy = -3x3
Equation 1 6x - 2y =-4
Equation 2 6x + 3y = -9
Subtract equation 2 from 1
We have -5y = 5
Divide both sides by -5
y = 5/-5 = -1
Now Substitute y = -1 into any of the equations to get x
Using equation 1 , we have
3x - (-1) = -2
3x +1 = -2
Collect like terms
3x = -2 -1
3x = -3
Divide both sides by 3
x = -3/3 = -1
Answer
First of all, we need to identify the type of equation this is...
Since we are solving two at a go, it means it's a simultaneous equation.
Now, we need to solve them differently.
Taking the first one which says...
3x -y = -2
Then we say
When x is 0, y =?
So in the equation above , we replace x with 0
Meaning- 3x-y = -2
3(0) -y= -2
0 -y= 2
-y =-2
Y =2
Also, when y =0.
3x- 0 =-2
3x=-2
X=-2/3.
Also for the other equation
2x+ y =-3
When x= 0 in the above equation
2(0) + y= -3
0 +y=-3
Y=-3
When y = 0
2x+ 0= -3
2x = -3
X=-3/2
The above is what well plot on the graph.
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Step-by-step explanation: