11x+y=23 3x-y=5 вычислите систему методом прибавления

To solve the system of equations using the method of addition, we need to add the two equations together to eliminate one of the variables. Let's add the two equations:

\(11x + y + 3x - y = 23 + 5\)

This simplifies to:

\(14x = 28\)

Now divide by 14 to find the value of x:

\(x = 2\)

Now substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

\(11(2) + y = 23\)

\(22 + y = 23\)

\(y = 1\)

So, the solution to the system of equations is \(x = 2\) and \(y = 1\).