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)