Answer: 2 solutions.
The given equation breaks down into these two equations
3x+12 = 18 and 3x+12 = -18
Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.
If you want to solve each equation, then
3x+12 = 18
3x = 18-12
3x = 6
x = 6/3
x = 2 is one solution
and
3x+12 = -18
3x = -18-12
3x = -30
x = -30/3
x = -10 is the other solution
Part (a)
<h3>Answer: x = -8</h3>
------------------
Work Shown:
2(x-1) = 3(x+2)
2x-2 = 3x+6 .... distribute
2x = 3x+6+2 .... adding 2 to both sides
2x = 3x+8
2x-3x = 8 .... subtracting 3x from both sides
-x = 8
x = -8 ..... multiply both sides by -1
===========================================================
Part (b)
<h3>Answer: x = 5/11</h3>
------------------
Work Shown:
-4(2x-2) = 3(x+1)
-8x+8 = 3x+3 ..... distribute
-8x = 3x+3-8 .... subtract 8 from both sides
-8x = 3x-5
-8x-3x = -5 ... subtract 3x from both sides
-11x = -5
x = -5/(-11) .... divide both sides by -11
x = 5/11
In decimal form, this is approximately equal to 5/11 = 0.4545
Answer:
1. 16.62d + 26 = m 2. $152.34
Step-by-step explanation:
For the first part of the question you put the unknown variable multiplied by 16.62. Then add 26 which equals an unknown variable. For the second part, I multiplied 16.62 by 7 and added 26.
Answer:
29,344.87 feet
Step-by-step explanation:
Tall Mountain is 8606.37 feet higher than Mt. Might. Let's replace the missing number with x.
Let's set up an equattion:
x = 20,738.5 + 8,606.37
Now let's solve the equation.
20,738.5 + 8,606.37 = 29,344.87
Add feet after the answer.
29,344.87
Line j is negative and line k is postive so you combine hem in like terms to solve them
