Hello!
The answers are:
1 [tex]x=-9[/tex]
2 [tex]x=16[/tex]
3 [tex]r=-2[/tex]
Why?
To know the solution of the problems, we need to isolate each variable.
Remember that:
- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.
- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.
- If we have an equality: if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side.
So:
1 - Solving for x
[tex]-3x+4=31\\-3x=31-4\\-3x=27\\x=\frac{27}{-3}=-9[/tex]
2 - Solving for x
[tex]2x-10=22\\2x=22+10\\2x=32\\x=\frac{32}{2}=16[/tex]
3 - Solving for r
[tex]40=32-4r\\4r=32-40\\4r=-8\\r=\frac{-8}{4}=-2[/tex]
Have a nice day!
