Algebra 1 -15 points-

Solve the following
absolute value equation.
-10|5x + 5| = 100

no solution

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

Given

- 10 | 5x + 5 | = 100 ( divide both sides by - 10 )

| 5x + 5 | = - 10

The absolute value cannot be negative thus the equation has no solution

2 months, and 100 stamps.

Step-by-step explanation:

xian: y=60+20x,

y os the total dollars, x is the months... I put 60+20x because he gets 20 stamps every month plus his original amount of stamps.

Kai: y=68+16x

where 16x is his 16 stamps per month.

Since both equation equals to y, we know that they have the same amount in x months.

60+20x=68+16x

Solve.

60-60+20x=68-60+16x

20x=8+16x

20x-16x=8+16x-16x

4x=8

4x/4=8/4

x=2

Since we already know they need 2 months, we need to find how many stamps they have (they are the same）so solve for y.(you could solve anyone, xian or kai... but I am going to do xian.)

y=60+20(2)

y=60+40

y=100 so they both have 100 after 2 months.