Answer:
the student solved the equation incorrectly because the original equation has one solution
Step-by-step explanation:
1/8(40x + 16) = 9x − 7(2x − 1) − 5
use the distributive property a(b + c) = ab + ac
(1/8)(40x) + (1/8)(16) = 9x + (-7)(2x) + (-7)(-1)
5x +2 = 9x − 14x + 7 − 5 combine like terms
5x + 2 = (9x - 14x) + (7 - 5)
here the student make mistake 9x - 14x = 5x
5x+2=-5x+2 add 5x to both sides and subtract 2 from both sides
5x + 5x + 2 - 2 = -5x + 5x + 2 - 2
10x = 0 divide both sides by 10
10x/10 = 0/10
x = 0
Answer:
Incorrectly , one solution
Step-by-step explanation:
The final solution of student is 2 = 2 which is a true statement, i.e. equation has infinitely many solution,
Given equation,
[tex]\frac{1}{8}(40x+16)=9x-7(2x-1) -5[/tex]
[tex]5x + 2 = 9x - 14x + 7 -5[/tex] ( by distributive property )
[tex]5x + 2 = -5x +2[/tex]
[tex]5x + 5x = 2 - 2[/tex]
[tex]10x = 0[/tex]
[tex]\implies x = 0[/tex]
Hence, the equation has a solution which is 0.
Therefore, the student solved the equation incorrectly because the original equation has one solution(s).
