Question

What is the value of x in the linear equation below?


4+3x-ax=9-7x+bx

Answer 1

x = 5/(10 - a - b)

Explanation:

Solve for x:

4 + 3 x - a x = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = x (b - 7) + 9

Subtract (b - 7) x + 4 from both sides:

x (10 - a - b) = 5

Divide both sides by 10 - a - b:

Answer: x = 5/(10 - a - b)