SOLUTION: Which equation is an identity? a) 3w+6-w=4w-2(w-3) b) 8-(5v+4)=-5v-4 c) 5y+7=5y-7 d) 4m-6=5m+9-m

Question 105517: Which equation is an identity?
a) 3w+6-w=4w-2(w-3)
b) 8-(5v+4)=-5v-4
c) 5y+7=5y-7
d) 4m-6=5m+9-m
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
The answer is a).
a)
3w+6-w=4w-2(w-3) get rid of parens
3w+6-w=4w-2w+6 collect like terms on each side of the equation
2w+6=2w+6---------------this is an identity---true for all values of w
b)
8-(5v+4)=-5v-4 get rid of parens
8-5v-4=-5v-4 collect like terms on each side of the equation
-5v+4=-5v-4
This problem does not have a solution. There are no values for v that will satisfy this equation.
c)
5y+7=5y-7
This problem does not have a solution. There are no values for y that will satisfy this equation.
d)
4m-6=5m+9-m collect like terms on each side of the equation
4m-6=4m+9
This problem does not have a solution. There are no values for m that will satisfy this equation.
Hope this helps---ptaylor

RELATED QUESTIONS
Which equation is an identity? a. 11-(2v+3)=-2v-8 b. 5w+8-w=6w-2(w-4) c. 7m-2=8m+4-m (answered by Edwin McCravy)

3z-x (2x+y)+(6x-5y) (-5ab+10c)+(6c-2ab) (9x-6yz)+(-13zy+4x) (-2j+k)-(5j+6k) (answered by ikleyn)

what is x 6x+4=5(3x+8) what is y -2(18-3y)=7y+2y what is w 9(2+w)-4w=3w-10... (answered by jim_thompson5910)

If (w^4 v^5)/(u^3) is greater than 0, which of the following does not have to be... (answered by greenestamps)

Solve each equation. a+4/2 = a+4/a and 4w-1/3w+6 - w-1/3 =... (answered by katz)

Solve each equation. a+4/2 = a+4/a and 4w-1/3w+6 - w-1/3 =... (answered by ankor@dixie-net.com)

Add. (3v^4-3v^3+5v^2+17v+11)+(v^5+11v^3+6v^2-5v+6)+(-6v^4+v^2-7v-7) Yes, this is... (answered by rfer)

rearranging equations make x the subjects of: x-y=w x+3y=5v v2+x=w 5v+x=w x2=6y... (answered by dabanfield)

The Length of a rectangle is 4 feet less than 3 times its width. The perimeter of the... (answered by ikleyn)