Question

Consider the equation 2(5x-4) = ax + b
Find a value for a and a value for b so that the equation has only one solution. explain your reasoning.


Thank you so much if you answer I need to submit this by 5 so please hurry! I will give brainliest to first good answer :)

Answer 1

Answer:

a=10

b=-8

Step-by-step explanation:

$2(5x-4)=ax+b$

$10x-8=ax+b$

a=10

b=-8

It's simple. I need my x variable to have a positive coefficient, 10 is already positive; therefore, I simply conclude a = 10. B has to be negative, but in the equation is positive (+b) therefore I need a negative number to make b negative when multiplied (-*+)

Answer 2

Answer:

2(5x-4) = ax+b

10x-8 = ax+b (Both sides are in the same format so you can substitute in the values)

a =10

b = -8