SOLUTION: We are doing 1 step equations at our adult education class and I do not understand these I need help My one problem is 2z+9=1 4z-8=24 -3a-4=17 4y+9=37 These are just a few I don't

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Question 192760: We are doing 1 step equations at our adult education class and I do not understand these I need help My one problem is 2z+9=1 4z-8=24 -3a-4=17 4y+9=37 These are just a few I don't understand could you please show me step by step how to do these. Please help me I am so confused. I have a good teacher but she is so busy she can't just work with me She has a lot of students and if I can get help with this I would appreciate.
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
2z+9=1 4z-8=24 -3a-4=17 4y+9=37
:
We want to perform math operations on both sides of the equation to isolate the
variable, usually on the left side, but doesn't have to be:
For example
2z + 9 = 1
Subtract 9 from both sides:
2z + 9 - 9 = 1 - 9
Which is
2z = -8
Divide both sides by 2 to get just 1z or we write it just z
=
which is
z = -4 is the solution
;
Check your solution in the original problem, substitute -4 for z
2(-4) + 9 = 1
-8 + 9 = 1; a true statement confirms our solution of z = -4
:
:
4z - 8 = 24
Add 8 to both sides to eliminate -8 0n the left:
4z - 8 + 8 = 24 + 8
4z = 32
Divide both sides by 4, that gives you
z = 8
:
Check as we did on the first one, substitute 8 in the original equation:
4(8) - 8 = 24
32 - 8 = 24
:
:
-3a - 4 = 17
We want the variable to be positive, multiply both sides by -1 and you have:
3a + 4 = -17; it changes all the signs
Subtract 4 from both sides
3a + 4 - 4 = -17 - 4
3a = -21
Divide both sides by 3
a = -7
:
Check:
-3(-7) - 4 = 17
+21 - 4 = 17; remember, minus times a minus is a +!
:
:
4y + 9 = 37
Subtract 9 from both sides. eliminates the 9 on the left
4y = 37 - 9
4y = 28
Divide both sides by 4, results:
y = 7
:
You check the solution in the original equation
:
Do you have any questions about this?