Astudent's work to solve an equation is shown.
1/8(40x+16)=9x−7(2x−1)−5 5x+2=9x−14x+7−5 5x+2=5x+2 2=2
the student solved the equation because the original equation has solution(s).
select the options that makes the above statements true.
question 5 options:
correctly
incorrectly
no solution
one solution
infinitely many solutions

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

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length