ALGEBRA HELP!!! Ist answer will recieve best answer?

Question

I need help working out these 4 problems

1. 4x + 5(7x - 3) = 9( x - 5)

2. 2(6d + 3) = 18 - 3(16 - 3d)

3. 8(4u - 1) - 12u = 11(2u -6)

4. -5 - (15y - 1) = 2(7y - 16) - y

Can you also tell me how you got the answer to the variable? Thanks a BUNCH!

Answer 1

For each of these, get the variable alone. Remember the order of operations and that if you do anything to one side you have to do it to the other.

Order of operations:
P - parentheses
E - exponents
M - multiplication
D - division
A - addition
S - subtraction

1.) 4x + 5(7x - 3) = 9(x - 5)...distribute the 5
4x + 35x - 15 = 9(x - 5)...distribute the 9
4x + 35x -15 = 9x - 45...combine 4x and 35x
39x - 15 = 9x - 45...subtract 9x from both sides
30x -15 = -45...add 15 to both sides
30x = -30...divide both sides by -1
x = -1

2.) 2(6d + 3) = 18 - 3(16 - 3d)...distribute the 2
12d + 6 = 18 - 3(16 - 3d)...distribute the 3
12d + 6 = 18 - 48 + 9d...combine 18 and -48
12d + 6 = -30 + 9d...subtract 9d from both sides
3d + 6 = -30...subtract 6 from both sides
3d = -36...divide both sides by 3
d = -12

3.) 8(4u - 1) - 12u = 11(2u -6)...distribute the 8
32u - 8 - 12u = 11(2u -6)...distribute the 11
32u - 8 - 12u = 22u - 66...combine 32u and -12u
20u - 8 = 22u - 66...add 66 to both sides
20u + 58 = 22u...subtract 20u from both sides
58 = 2u...divide both sides by 2
29 = u

4.) -5 - (15y - 1) = 2(7y - 16) - y...distribute the -1
-5 - 15y + 1 = 2(7y - 16) - y...distribute the 2
-5 - 15y + 1 = 14y - 32 - y...combine -5 and 1
-15y - 4 = 14y - 32 - y...combine 14y and -y
-15y - 4 = 13y - 32...add 32 to both sides
-15y + 28 = 13y...add 15y to both sides
28 = 28y...divide both sides by 28
1 = y

Answer 2

here are the steps
1. you distribute the values
2. then combine like terms
3. add or subtract depending on the operatyion
4. divide to get the vakue of the variabvle

1. 4x + 35x - 15 = 9x - 45
39x - 15 = 9x - 45
39x-9x = -45 + 15
30x = -30

x = -1

2.2 (6d + 3) = 18 - 3(16 - 3d)
12d + 6 = 18 - 48 + 9d
12d + 6 = -30 + 9d
12d - 9d = -6 -30
3d = -36

d = -12

3. 8(4u - 1) - 12u = 11(2u -6)
32u - 8 - 12u = 22u - 66
20u - 8 = 22u - 66
20u -22u = 8 -66
-2u = -58

u = 29

4.-5 - (15y - 1) = 2(7y - 16) - y
-5 - 15y + 1 = 14y - 32 - y
-4 - 15y = 13y - 32
-15y - 13y = 4 - 32
-28y = -28

y = 1

Answer 3

1. 4x + 5(7x - 3) = 9(x - 5)
4x + 35x - 15 = 9x - 45
39x - 15 = 9x - 45
30x = -30
x = -1

2. 2(6d + 3) = 18 - 3(16 - 3d)
12d + 6 = 18 - 48 + 9d
12d + 6 = -30 + 9d
3d = -36
d = -12

3. 8(4u -1) - 12u = 11(2u - 6)
32u -8 - 12u = 22u - 66
20u - 8 = 22u - 66
-2u = -58
u = 29

4. -5 - (15y - 1) = 2(7y - 16) -y
-5 - 15y + 1 = 14y - 32 - y
-4 - 15y = 13y - 32
-28y = - 28
y = 1

Answer 4

1. 4x + 5(7x-3) = 9(x-5)
4x + 35x -15 = 9x - 45
4x+35x-9x = -45+15
30x = -30
x = -1

2. 2(6d+3) = 18-3(16-3d)
12d + 6 = 18 - 48 + 9d
12d-9d = -30-6
3d = -36
d = -12

3. 8(4u -1) - 12u = 11(2u-6)
32u - 8 -12u = 22u - 66
32u - 12u -22u = -66+8
-2u = -58
u = 29

4. -5-(15y-1) = 2(7y-16)-y
-5- 15y+1 = 14y - 32-y
-15y-4 = 13y - 32
-15y-13y = -32+4
-28y = -28
y = 1

hope this can help...

Answer 5

1. 4x + 5(7x - 3) = 9( x - 5)
Remove brackets by applying multiplier:
4x + 35x - 15 = 9x - 45
Gather like terms on opposite sides (change signs):
4x + 35x - 9x = 15 - 45
Collect like terms:
30x = -30
x = -1

2. 2(6d + 3) = 18 - 3(16 - 3d)
Remove brackets:
12d + 6 = 18 - 48 + 9d
Gather terms on opposite sides:
12d - 9d = 18 - 48 - 6
Gather like terms:
3d = -36
d = -12

3. 8(4u - 1) - 12u = 11(2u -6)

4. -5 - (15y - 1) = 2(7y - 16) - y

Answer 6

I'll help you out with the first one. You must first simplify the problem. To do this, multiply all the numbers/variables inside the parentheses by the number sitting just outside the parentheses. Let's do this for both side of the first equation.

4x+5*7x - 5*3 =9x - 9*5

Now we just multiply the numbers out to simplify a bit further:

4x+35x-15=9x-45

Since 4 and 35 both multiply the variable x, we add them and combine the variable terms together on the left hand side of the equation.

39x-15=9x-45

We still need to get the terms with a variable in it on one side and everything else on the other side. Start by subtracting 9x from both sides.

39x -15 -9x =9x - 45 - 9x

Again combine the numbers that multiply the variables: Since 39-9=30 on the left side, and 9-9=0 on the left side, we have:

30x-15= -45

Now add 15 to both sides:

30x - 15 +15= -45+15

We now get 30x= -30

If we divide both sides by 30, we have:

30x/30 = -30/30 and get x= -1

Go ahead and put x into your original equation and make sure you get the same number on each side. Each of the remaining equations is very similar and involves all the same kinds of steps. Good luck!

Answer 7

Well when you see parenthases and the number before it your need to use the disbributive property... for example...#1

4x+5(7x-3)=9(x-5) multiply outside x inside
4x+35x-15=9x-45
39x-15=9x-45 add like numbers
-9x subract 9 from both sides
30x-15= -45
+15 at 15 from both sides
30x= -30
/30 /30 divide by 30
_______
1x= -1
You have to get all the x's and the numbers on one side to solve for the variable...You do the same thing for the rest and on number 5 .... pretend there is a -1 before (you can pretend there is a coefficient) to make it easier...Just remember WATCH THE SIGNS!

Hope this helps!

Answer 8

I hate to admit it, but yeah, I love it. I always get a smile and on the inside do the "happy dance". I know it's stupid, but I like knowing that someone valued my opinion or enjoyed my sense of humor about a subject. I've had to laugh at some of the answers I've given that earned best answer. So yeah, it's fun!

Answer 9

1.
x= - 1
2.
d=-1 1/7
3.
u=29
4.
y= 1 2/7

Answer 10

The answer is...

DO YOUR OWN FREAKING HOMEWORK!!!


(but thanks for the two points.)