Question

-5 + bx = 2x +3(x+2) - In the equation shown above, b is constant. For What value of b does the equation above have no solution?

• A. - 2.5
• B. 2.5
• C. - 5
• D. 5

Answer 1

The correct option is D 5

-5 + bx = 2x + 3(x+2)
-5 + bx = 2x + 3x + 6 (using distributive property)
-5 + bx = 5x + 6
Now we can write this as two different equations
bx - 5 = y
5x + 6 = y
We know that if lines representing the equation are parallel then the equations will have no solution
Therefore, $\frac{b}{5}=1$ or b = 5
Hence, the answer is D