reduction method 2x-y=13 x+y=-1

To solve the system of equations using the reduction method, you can eliminate one of the variables by adding the two equations together or subtracting one from the other. Let's eliminate y by adding the two equations: 2x - y = 13 x + y = -1 Now, add equation 1 and equation 2: (2x - y) + (x + y) = 13 + (-1) Combine like terms: 3x = 12 Now, isolate x by dividing both sides by 3: x = 12 / 3 x = 4 Now that you have found the value of x, you can substitute it into one of the original equations to solve for y. Let's use equation 2: x + y = -1 4 + y = -1 Subtract 4 from both sides to solve for y: y = -1 - 4 y = -5 So, the solution to the system of equations is: x = 4 y = -5