# Linear equations with two unknowns

We think you wrote:

This solution deals with linear equations with two unknowns.

Solution found

{m,n}={-5/2,-13/3}

## Step by Step Solution

## System of Linear Equations entered :

[1] 4m - 3n = 3 [2] 2m - 3n = 8

### Graphic Representation of the Equations :

-3n + 4m = 3 -3n + 2m = 8

### Solve by Substitution :

// Solve equation [2] for the variable m

[2] 2m = 3n + 8 [2] m = 3n/2 + 4

// Plug this in for variable m in equation [1]

[1] 4•(3n/2+4) - 3n = 3 [1] 3n = -13

// Solve equation [1] for the variable n

[1] 3n = - 13 [1] n = - 13/3

// By now we know this much :

m = 3n/2+4 n = -13/3

// Use the n value to solve for m

```
m = (3/2)(-13/3)+4 = -5/2
```

## Solution :

```
{m,n} = {-5/2,-13/3}
```