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,


$x = \frac{ - 20}{4}$




This gives us,

$x = - 5$




QUESTION 3


We want to simplify

$2(p + 8) = 26$


We divide both sides by 2 to obtain,

$\frac{2(p + 8)}{2} = \frac{26}{2}$

$p + 8 = 13$


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.