solve each equation and show your steps?

Question

5y-(2-3y)=54

3x-4+8x + 3=32

7x-6(11-2x)=10

6(x-2)=2(9-2x)

8x-3(6+x)=5x+4

hmg im pretty sure that was the question ive got the paper all the equations i did i got the same answer but that was the one i was confused about too

Answer 1

5y-(2-3y)=54
5y-2+3y=54
8y-2=54
8y=56
y=7

3x-4+8x + 3=32
11x-1=32
11x=33
x=3

7x-6(11-2x)=10
7x-66+12x=10
19x-66=10
19x=76
x=4

6(x-2)=2(9-2x)
6x-12=18-4x
10x-12=18
10x=30
x=3

8x-3(6+x)=5x+4
8x-18-3x=5x+4
5x-18=5x+4
5x=5x+22
0=22
Are you sure you typed this one right?

Answer 2

It's been a while since I did this but... what you do to one side must do to another. You have to isolate the x or y by getting it on one side and the numbers by getting them on the other. You cancel them out by doing the opposite (add if it's negative or divide if it's multiplied).

*5y-(2-3y) = 54
1.) 5y-1(2-3y) = 54 the 1 is already implied.
2.) 5y-2+3y = 54 get rid of the parentheses by multiplying whatever is outside of it to the inside equation
3.) 8y-2 = 54 add the constonants
4.) 8y = 56 add the 2 to both sides to cancel it on one side and isolate the constonant
5.) y = 56/8 divide the 8 on both sides "cancelling..."
6.) y = 7 Simplify the fraction

*3x-4+8x+3 = 32
1.) 11x-1 = 32 add the constonants and numbers
2.) 11x = 33 cancel the 1
3.) x = 33/11 cancel the 11
4.) x = 3 simplfy the fraction

*7x-6(11-2x) = 10
1.) 7x-66+12x = 10 multiply whatever is outside to the inside
2.) 19x-66 = 10 add constonants
3.) 19x = 76
4.) x = 76/19
5.) x = 4

*6(x-2) = 2(9-2x)
1.) 6x-12 = 18-4x
2.) 10x-12 = 18
3.) 10x = 30
4.) x = 3

*8x-3(6+x) = 5x+4
1.) 8x-18-3x = 5x+4
2.) 5x-18 = 5x+4
3.) x-18 = 4
4.) x = -14

Answer 3

solution

1) 5y-(2-3y)=54

5y-2+3y=54

5y+3y=54+2

8y=56

y=7


2)3x-4+8x+3=32

3x+8x=32+4-3

11x=33

x=3



3)7x-6(11-2x)=10

7x-66+12x=10

7x+12x=10+66

19x=76

x=4



4) 6(x-2)=2(9-2x)

6x-12=18-4x

6x+4x=18+12
1
10x=30

x=3


5)8x-3(6+x)=5x+4

8x-18-3x=5x+4

8x-3x-5x=4+18

0x=22 i guess this has no solution

Answer 4

1).
5y - (2 - 3y) = 54
y = 7
2).
3x - 4 + 8x + 3 = 32
x = 3
3).
7x - 6(11 - 2x) = 10
19x = 76
x = 4
4).
6(x - 2) = 2(9 - 2x)
x = 3
5).
8x - 3(6 + x) = 5x + 4
False
No solutions exist.

Answer 5

Word Problem: 38 - 8 = 30 30/6 = 5 Marbles in each bag.

Answer 6

5y-(2-3y)=54
5y-2+3y=54 (to eliminate the parentheses, change the signs)
8y-2=54 (add the 2 to both sides to keep the variable separate)
8y=56 (divide by 8 to isolate the variable)
y=7

Even though everyone answering will probably suppy you with all the answers, it's really not that hard if you try yourself.

Answer 7

5y-(2-3y)=54
5y+3y-2=54
8y-2=54
8y=54+2
8y=56
y=7

3x-4+8x+3=32
3x+8x-4+3=32
11x-1=32
11x=32+1
11x=33
x=3

7x-6(11-2x)=10
7x-66+12x=10
7x+12x=10+66
19x=76
x=4

6(x-2)=2(9-2x)
6x-12=18-4x
6x+4x=18+12
10x=30
x=3

8x-3(6+x)=5x+4
8x-18-3x=5x+4
8x-3x-5x=4+18
-cannot get x-