Answer: x = -17/48 and y = 1/4.
Explanation:
Solve the system of equations using elimination, we need to eliminate one of the variables (either x or y) by adding or subtracting the two equations.
Let's eliminate x:
12x + 13y = -1
-12x + 23y = 10
Adding the two equations, we get:
36y = 9
Dividing both sides by 36, we get:
y = 1/4
Now we can substitute this value of y into either of the original equations to find the value of x. Let's use the first equation:
12x + 13y = -1
12x + 13(1/4) = -1
Multiplying both sides by 4 to eliminate the fraction, we get:
48x + 13 = -4
Subtracting 13 from both sides, we get:
48x = -17
Dividing both sides by 48, we get:
x = -17/48
Therefore, the solution to the system of equations is:
x = -17/48 and y = 1/4.