Х-у=5 х+у=7

To solve this system of equations, you can use the method of substitution or addition.

Method 1: Substitution From the first equation, we can isolate one variable in terms of the other. x - y = 5 x = 5 + y

Substitute this value of x into the second equation: (5 + y) + y = 7 5 + 2y = 7 2y = 7 - 5 2y = 2 y = 1

Substitute the value of y back into the first equation: x - 1 = 5 x = 5 + 1 x = 6

Therefore, the solution to the system of equations is x = 6 and y = 1.

Method 2: Addition To use the addition method, we can add the two equations together. (x - y) + (x + y) = 5 + 7 2x = 12 x = 12/2 x = 6

Substitute x = 6 back into either of the original equations: 6 + y = 7 y = 7 - 6 y = 1

Again, the solution to the system of equations is x = 6 and y = 1.