Help me with these word problems

Question

The sum of a number and -7 is equal to the quotient of the number and -29

Answer 1

We translate this into algebra:

the quotient of a number x and -3 is equal to 29

x/-3=29

And then we solve for x:

x/-3=29

*-3 *-3

x =29*-3

x =-87

Answer 2

If I understand this question correctly, then

let x = the number, then x - 7 = x/-29

 

multiply both sides of the equation by -29, which yields -29x + 203 = x

 

rearrange the equation to 203 = 30x

 

so, x = 6.7666

 

when we substitute that value into the original equation, we get

6.7666 - 7 = 6.7666/-29

-0.2333 = -0.2333