Solve the following equation for x.

3x + 23y = 17

The correct answer is x = 5 2/3 - 7 2y/3

Step-by-step explanation:

1. Let's solve the equation for x

3x + 23y = 17

3x = 17 - 23y (Subtracting 23y at both sides)

3x/3 = 17/3 - 23y/3 (Dividing by 3 at both sides)

x = 17/3 - 23y/3

2. Proof of 17/3 - 23y/3 as the value of x

3x + 23y = 17

3 (17/3 - 23y/3) + 23y = 17 (Multiplying the values inside the parenthesis)

17 - 23y + 23y = 17

17 = 17

It has been proved that x = 17/3 - 23y/3

3. However we can simplify

17/3 - 23y/3

5 2/3 - 7 2y/3

There isn't a system of equations that will allow us to find y