X+y=5 3x+y=7

You have a system of two linear equations with two variables x and y.

The equations are:

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

To solve the system, there are various methods that can be used. Let's use the substitution or elimination method.

Using the elimination method, we can multiply the first equation by -1 to eliminate y when we add both equations. The modified equations will look like this:

-1 * (x + y = 5) becomes -x - y = -5

Now we add this equation to the second equation:

• (x + y = -5) 3x + y = 7

2x = 2

Now we can solve for x:

2x = 2 x = 2 / 2 x = 1

Now that we have the value of x, we can substitute it back into either of the original equations to solve for y. Let's use the first equation:

x + y = 5 1 + y = 5 y = 5 - 1 y = 4

So the solution to the system of equations is:

x = 1, y = 4.