SOLUTION: 1.) 2(y-6)=3y+12-y 2.) 6-2y=7y+13 3.) 3x-5(x-6)=2(10-x)+10 4.) 5n+7=7(n+1)-2n 5.) -4(p+2)+8=2(p-1)-7p+15

Algebra.Com
Question 64293: 1.) 2(y-6)=3y+12-y

2.) 6-2y=7y+13

3.) 3x-5(x-6)=2(10-x)+10
4.) 5n+7=7(n+1)-2n
5.) -4(p+2)+8=2(p-1)-7p+15

Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
1.) 2(y-6)=3y+12-y
2y+2(-6)=3y-y+12
2y-12=2y+12
-2y+2y-12=-2y+2y+12
0-12=0+12
-12=12 No solution, this is inconsistent.
:
2.) 6-2y=7y+13
6-2y+2y=7y+2y+13
6-0=9y+13
6=9y+13
6-13=9y+13-13
-7=9y+0
-7=9y
-7/9=9y/9
-7/9=y
:
3.) 3x-5(x-6)=2(10-x)+10
3x-5(x)-5(-6)=2(10)+2(-x)+10
3x-5x+30=20-2x+10
2x+30=-2x+30
2x+2x+30=-2x+2x+30
4x+30=30
4x+30-30=30-30
4x+0=0
4x=0
4x/4=0/4
x=0
:
4.) 5n+7=7(n+1)-2n
5n+7=7(n)+7(1)-2n
5n+7=7n+7-2n
5n+7=7n-2n+7
5n+7=5n+7 This is an identity, there are infinitly many solutions.
:
5.) -4(p+2)+8=2(p-1)-7p+15
-4(p)-4(2)+8=2(p)+2(-1)-7p+15
-4p-8+8=2p-2-7p+15
-4p+0=2p-7p-2+15
-4p=-5p+13
-4p+5p=-5p+5p+13
p=0+13
p=13
Happy Calculating!!!

RELATED QUESTIONS

1. 4x+3y=1, x=1-y 2. 2x-y=6, -x+y=-1 3. 6x-y=3, 4x-2y=-2 4. 2x+3y=7, x=1-4y 5.... (answered by AnlytcPhil)
How would I solve these systems? 1)x+5y=4 3x-7y=-10 2)-5x+3y=6 x-y=4 (answered by elima)
1) x+y=9 x+2y=13 x= y= 2) 3x+7y= 24 9x+5y=24 x= y= 3) 4x+y=17 2x+3y+21 x= (answered by Fombitz)
linear algebra elimination method 13) 2/3x+2/5y=4/5 1/2x+2/3y=-1/2... (answered by Edwin McCravy)
Give the x -intercept and y -intercept of the following. 1. 4x – y = 16 2. 2x + 3y (answered by lynnlo)
What is the solution to 1. y = 3x – 8 y = 4 – x 2. x + y = 0 3x + y = -8 (answered by Alan3354)
1. (3x^2-2x+10)-(3x^2+3x+1)= 2. (y-y^2)-(2y-2y^2)-(3+y)= 3. (2w^3-3w^2+4)-(-2w^2+7w+1)= (answered by edjones,richard1234)
1. (3x^2-2x+10)-(3x^2+3x+1)= 2. (y-y^2)-(2y-2y^2)-(3+y)= 3. (2w^3-3w^2+4)-(-2w^2+7w+1)=... (answered by Alan3354)
SOLVE STEP BY STEP THANK YOU:) 1) x+y=5 3x-y=7 2) 2x+y=3 -2x+5y=-9 3) 3x+5y=0 (answered by Alan3354)