X+y=5 3x+y=7

The given system of linear equations can be solved using different methods such as substitution, elimination, or graphical approaches. Here, we'll apply the elimination method to solve for x and y.

We have two equations:

1. x + y = 5
2. 3x + y = 7

First, let's eliminate y by subtracting equation 1 from equation 2 to find x: (3x + y) - (x + y) = 7 - 5

Performing the subtraction, we get: 3x + y - x - y = 2 2x = 2

Now, divide both sides by 2 to solve for x: x = 2/2 x = 1

Now that we have the value of x, we can substitute it into either original equation to find y. We'll use equation 1: x + y = 5 1 + y = 5

Subtract 1 from both sides to solve for y: y = 5 - 1 y = 4

The solution to the system of equations is x = 1 and y = 4.