what are the answers to the following questions?
6n+16=26, n=?
8a-6=18 a=?
-16-10n=24 n=?
18+14z=-6 z=?
etc? show work please?
8a-6=18 a=?
8x?-6?18
8x3-6=18
the answer is 3
6n+16=26
6n=26-16
6n=10
10/6=1.6
n=1.6
-16-10n=24
10n=24+16
10n=40
40/10=4
n=4
18+14z=-6
14z=-6-18
14z=-24
z=0.07
To find the answers to these equations, we can use algebraic methods to solve for the variable in each equation. Let's go through each question step by step:
1. 6n+16=26, we want to solve for n:
- First, we subtract 16 from both sides of the equation to isolate the term with n:
6n = 26 - 16
6n = 10
- Next, we divide both sides of the equation by 6 to solve for n:
n = 10/6
n = 1.6
Therefore, the answer for n is 1.6.
2. 8a-6=18, we want to solve for a:
- Similar to the previous equation, we add 6 to both sides to isolate the term with a:
8a = 18 + 6
8a = 24
- Then we divide both sides by 8 to get the value of a:
a = 24/8
a = 3
Therefore, the answer for a is 3.
3. -16-10n=24, we want to solve for n:
- To get rid of the -16 on the left side, we add 16 to both sides:
-10n = 24 + 16
-10n = 40
- Now, we divide both sides by -10 to solve for n:
n = 40/-10
n = -4
Therefore, the answer for n is -4.
4. 18+14z=-6, we want to solve for z:
- Similar to previous steps, we subtract 18 from both sides to isolate z:
14z = -6 - 18
14z = -24
- Then we divide both sides by 14 to solve for z:
z = -24/14
z = -1.71
Therefore, the answer for z is -1.71.
By following these steps, you can solve each of the given equations and find the values of the variables.