Hello! : )
This is my first post, so not quite sure if syntax is correct or if this should be in beginning algebra or intermediate/advanced algebra. I'm taking the course College Algebra.
Book says answer is x=(1-a)/(a^2-a-1)
I've tried 3 different ways, but think I may be distributing prematurely when there would be an easier way:
1) (a^2)x+(a-1)=(a+1)x
(a^2)x+(a-1)=ax+x
-x+(a^2)+(a-1)=ax
(a^2)-x+a-1=(ax)/x
-x=(-a^2)-a+1+((ax)/x)
x=(a^2)+a-1-((ax)/x)
I don't know if this is correct or how to get my answer into book answer form from here.
2) (a^2)x+(a-1)=(a+1)x
(a^2)x=-a+1+(a+1)x
x=(-a+1+(a+1)x)/a^2
x=(-a+1+ax+x)/a^2
x=(1-a+ax+x)/a^2
Again, don't know if this is correct or how to get into book form.
3) (a^2)x+(a-1)=(a+1)x if I divide both sides by a^2, do I do it like this:
x+(a-1)=((a+1)x)/a^2 or like this:
x+((a-1)/a^2)=((a+1)x)/a^2 ???
Please help, it's early in the morning and I'm all cracked out on coffee!!!! : P
Thanks so much,
Tammie : )
This is my first post, so not quite sure if syntax is correct or if this should be in beginning algebra or intermediate/advanced algebra. I'm taking the course College Algebra.
Book says answer is x=(1-a)/(a^2-a-1)
I've tried 3 different ways, but think I may be distributing prematurely when there would be an easier way:
1) (a^2)x+(a-1)=(a+1)x
(a^2)x+(a-1)=ax+x
-x+(a^2)+(a-1)=ax
(a^2)-x+a-1=(ax)/x
-x=(-a^2)-a+1+((ax)/x)
x=(a^2)+a-1-((ax)/x)
I don't know if this is correct or how to get my answer into book answer form from here.
2) (a^2)x+(a-1)=(a+1)x
(a^2)x=-a+1+(a+1)x
x=(-a+1+(a+1)x)/a^2
x=(-a+1+ax+x)/a^2
x=(1-a+ax+x)/a^2
Again, don't know if this is correct or how to get into book form.
3) (a^2)x+(a-1)=(a+1)x if I divide both sides by a^2, do I do it like this:
x+(a-1)=((a+1)x)/a^2 or like this:
x+((a-1)/a^2)=((a+1)x)/a^2 ???
Please help, it's early in the morning and I'm all cracked out on coffee!!!! : P
Thanks so much,
Tammie : )