MATH SOLVE

3 months ago

Q:
# Consider the equation 2(5x - 4) = ax + bFind a value for a and b so that the equation has no solution.I’ll give you 10 points please I really need help!

Accepted Solution

A:

Answer:A. [tex]a=10\\ \\b\neq -8[/tex]B. [tex]a=10\\ \\b= -8[/tex]Step-by-step explanation:Consider the equation[tex]2(5x-4) = ax + b[/tex]A. This equation has no solutions when the coefficients at x are the same and the free coefficients are not the same.First, use distributive property:[tex]2(5x-4)=2\cdot 5x-2\cdot 4=10x-8[/tex]So, the equation is[tex]10x-8=ax+b[/tex]This equation has no solutions when[tex]a=10\\ \\b\neq -8[/tex]B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.So, the equation[tex]10x-8=ax+b[/tex]has infinitely many solutions when[tex]a=10\\ \\b= -8[/tex]In other cases, the equation has a unique solution