Luca shows his work in finding the solution to 2−6x=5−5(x−1). after checking his answer in the original equation, he found that it did not work. where did he make a mistake?

probably made an error with positive negative signs

Step-by-step explanation

remember what you do on one side of the equal sign you do to the other side.

2−6x=5−5(x−1)

multiply 5(x-1) to get below

2 - 6x = 5 - 5x + 5

combine like terms on right side 5+5=10

2 - 6x = 10 - 5x

subtract 2 from each side of equal sign

-6x = 8 - 5x

add 5 x to each side to cancel out right side

-1x = 8

now divide by -1 on each side to get the variable alone

x = -8

oof

step-by-step explanation:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !