Final answer:
The solution to the system of linear equations is x = -85/22 and y = -221/22.
Step-by-step explanation:
The given equations are:
3x - y = -12
7x + 5y = -25
x - y = 13
2x + 3y = 20
We can solve these equations using the method of elimination or substitution. Let's solve them using the substitution method:
From the first equation, we can express y in terms of x: y = 3x + 12
Substituting this value of y in the second equation, we get: 7x + 5(3x + 12) = -25
Simplifying the equation, we have: 22x = -85
Dividing both sides by 22, we get: x = -85/22
Substituting this value of x in the first equation, we can find the value of y:
3(-85/22) - y = -12
Simplifying the equation, we have: -255/22 - y = -12
Adding -255/22 to both sides, we get: -y = -12 + 255/22
Simplifying the equation, we have: -y = 221/22
Dividing both sides by -1, we get: y = -221/22
Therefore, the solution to the system of equations is x = -85/22 and y = -221/22.