SOLUTION: Decide whether each is an expression or an equation. If it is an expression, simplify it. If it is an equation, solve it. (a) 5x + 8 - 4x + 7 (b) -6y + 12 + 7y -5 =

Algebra ->  Signed-numbers -> SOLUTION: Decide whether each is an expression or an equation. If it is an expression, simplify it. If it is an equation, solve it. (a) 5x + 8 - 4x + 7 (b) -6y + 12 + 7y -5 =       Log On


   



Question 124728This question is from textbook
: Decide whether each is an expression or an equation. If it is an expression, simplify it. If it is an equation, solve it.
(a) 5x + 8 - 4x + 7 (b) -6y + 12 + 7y -5 =

(c) 5x +8 - 4x = 7 (d) -6y + 12 + 7y = -5
This question is from textbook

Answer by dolly(163) About Me  (Show Source):
You can put this solution on YOUR website!
(a) 5x + 8 - 4x + 7
This is an expression as it does not have an = sign
Adding the like terms, we get, 5x - 4x + 8 + 7
= x + 15
(b) -6y + 12 + 7y -5
This is an expression as it does not have an = sign
==> (b) -6y + 12 + 7y -5
==> - 6y + 7y + 12 - 5
==> y + 7
==> y +7
c) 5x +8 - 4x = 7
This is an equation as = is present
==> 5x - 4x + 8 = 7
==> x + 8 = 7
==> x = 7 - 8 [adding -8 to both the sides]
==> x = - 1
d) -6y + 12 + 7y = -5
This is an equation as = is present
==> y + 12 = -5
==> y = -5 - 12 [ adding -12 to both the sides]
==> y = - 17
==> y = - 17