X+y=5 3x+y=7

You are given a system of two linear equations with two variables:

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

To solve this system for x and y, we can use either the substitution method or the elimination method. Let's use the elimination method:

First, we'll align the equations:

x + y = 5 (1) 3x + y = 7 (2)

Now, we will subtract equation (1) from equation (2) to eliminate the y variable:

(3x + y) - (x + y) = (7) - (5)

This simplifies to:

3x - x + y - y = 7 - 5 2x = 2

Now divide both sides by 2:

x = 2 / 2 x = 1

Now that we have the value of x, we can substitute it back into either original equation to find the value of y. Let's use equation (1):

x + y = 5 1 + y = 5

Subtract 1 from both sides to get the value of y:

y = 5 - 1 y = 4

Therefore, the solution to the system of equations is:

x = 1 y = 4