Answer:
The solution to the system of equations is x = 9/12 and y = 27/60.
Explanation:
To solve a system of equations, we can use elimination or substitution. In this case, we can use elimination by adding the equations together. When we add the two equations, the y-terms will cancel out, leaving us with an equation in terms of x only.
First, let's add the equations:
-5y + 3x = 3
-8y + 9x = -12
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-13y + 12x = -9
Then, we can divide both sides of the equation by -13 to get the value of x:
(-13y + 12x) / -13 = (-9) / -13
12x = 9
x = 9/12
Since we know the value of x, we can substitute it back into either of the original equations to find the value of y:
-5y + 3(9/12) = 3
-5y + 27/12 = 3
-5y = -27/12
y = 27/60
Therefore, the solution to the system of equations is x = 9/12 and y = 27/60.