Answer:
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