Question

Ax+b=3x-4

In the equation above, a and b are constants. If the equation has no solution, which of the following statements must be true about a and b ?

A) a≠3 and b≠4
B) a=3 and b≠-4
C) a=3 and b=-4
D) a=-3 and b=4

Answer 1

If the equation has no solution, the statement that must be true about a and b is a≠3 and b≠4.

Step-by-step explanation:

To determine which statement must be true about a and b if the equation has no solution, we need to compare the coefficients of x on both sides of the equation.

The equation is ax + b = 3x - 4.

The coefficient of x on the left side is a, and the coefficient on the right side is 3.

If the equation has no solution, it means that the coefficients of x on both sides are not equal.

Therefore, the correct statement about a and b is A) a≠3 and b≠4.