Question

I need help asap

1. Simplify.
5x+10y+7x−4y

2. Solve the equation. Please show your math work step by step.
5x −14=−34

3. Solve the equation. Please show your math work step by step.
2(p + 8) = 26

4. Bob solved the inequality problem below incorrectly. Explain his error and redo the problem showing the correct answer.
−2x + 5 < 17
−2x + 5-5 < 17-5
-2x/-2 < 12/-2
X < -6

Answer 1

QUESTION 1

We want to simplify,



`5x + 10y + 7x - 4y`

We regroup to obtain,


`5x + 7x + 10y - 4y`


We simplify to obtain,


`12x + 6y`


QUESTION 2



We want to solve


`5x - 14 = - 34`


We group like terms to obtain,


`5x = - 34 + 14`
Simplify


`5x = - 20`

We divide both sides by 5 to get,



`x = ( - 20)/(4)`




This gives us,


`x = - 5`




QUESTION 3


We want to simplify


`2(p + 8) = 26`


We divide both sides by 2 to obtain,


`(2(p + 8))/(2) = (26)/(2)`


`p + 8 = 13`


We group like terms to obtain,


`p = 13 - 8`



`p = 5`


QUESTION 5

The inequality given to Bob was


`- 2x + 5 < \: 17`


He added the additive inverse of 5 to both sides to obtain,



`- 2x + 5 - 5 < \: 17 - 5`

He gets


`- 2x < \: 12`



He needs to divide both sides by -2 and reverse the inequality sign to obtain,


`x > \: - 6`


The error is that, he forgot to reverse the inequality sign.