Question

6= -s + 77
Given the above equation, what is the value of
1 + 5(77 - s)?

Answer 1

`\boxed{\bold{31}}`

Step-by-step explanation:

Solve
`\bold{6= -s + 77}`

--------------------------

Add 's' To Both Sides

=
`\bold{6+s=-s+77+s}`

Simplify

=
`\bold{6+s=77}`

Subtract 6 From Both Sides

=
`\bold{6+s-6=77-6}`

Simplify

=
`\bold{s \ = \ 71}`

Insert '71' Into 1 + 5 (77 - s)

-------------------------------

1 + 5 (77 - 71)

Solve:

77 - 71 = 6

= 1 + 5 · 6

5 · 6 = 30

= 1 + 30

= 31

Mordancy.

Answer 2

1 + 5(77 - s) = 31

Step-by-step explanation:

Solve for s:

`-s+77=6\qquad\text{subtract 77 from both sides}\\\\-s=-71\qquad\text{change the signs}\\\\s=71`

Put the value of s to the expression 1 + 5(77 -s):

`1+5(77-71)`

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

`=1+5(6)=1+30=31`