2x + y = 5 x + 3y = 5 Solve using the substitution method.

From the first equation, we can solve for y:

y = 5 - 2x

Now we substitute this expression for y into the second equation:

x + 3(5 - 2x) = 5
x + 15 - 6x = 5
-5x + 15 = 5
-5x = -10
x = 2

Now that we have found the value of x, we can substitute it back into the first equation to solve for y:

2(2) + y = 5
4 + y = 5
y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

From the first equation, we have:

```
y = 5/2x
```

Substitute this expression for y into the second equation:

```
x (3(5/2x)) = 5
```

Simplify:

```
15/2 = 5
```

Multiply both sides by 2/15 to isolate x:

```
x = 2/3
```

Substitute the value of x back into the expression for y:

```
y = 5/2(2/3) = 5/3
```

Therefore, the solution to the system of equations is:

```
x = 2/3
y = 5/3
```