Solve each equation. Check your solution -15 + 6a= 5a -32?

Question

-15 + 6a= 5a -32

Answer 1

6a - 5a = - 32 + 15
a = - 17

Answer 2

Simplifying
-15 + 6a = 5a + -32

Reorder the terms:
-15 + 6a = -32 + 5a

Solving
-15 + 6a = -32 + 5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-5a' to each side of the equation.
-15 + 6a + -5a = -32 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-15 + 1a = -32 + 5a + -5a

Combine like terms: 5a + -5a = 0
-15 + 1a = -32 + 0
-15 + 1a = -32

Add '15' to each side of the equation.
-15 + 15 + 1a = -32 + 15

Combine like terms: -15 + 15 = 0
0 + 1a = -32 + 15
1a = -32 + 15

Combine like terms: -32 + 15 = -17
1a = -17

Divide each side by '1'.
a = -17

Simplifying
a = -17


Check solution
-15 + 6(-17) = 5(-17) - 32
-15 - 102 = -85 - 32
-117 = -117

Answer 3

-15 + 6a = 5a - 32
6a - 5a = -32 + 15
a = -17
Check:
-15 + 6(-17) = 5(-17) - 32
-15 - 102 = -85 - 32
-117 = -117

Answer 4

-15 + 6a = 5a -32
6a - 5a = -32 +15
a = -17
Checking LHS
when a=-17
is -15 +6(-17)
= -15 - 102 = -117 (Result A)
Checking RHS
when a = -17
is 5(-17) -32 = -85-32 = -117 (Result B)
Therefore LHS = RHS when a= -17

Answer 5

-15 + 6a = 5a - 32
(addition prop. of equation)... -15 +(15)+ 6a = 5a - 32 +15
(simplification)... 6a = 5a - 17
(ape)... 6a +(-5a) = 5a +(-5a) -17
(sim.)... a = -17
(substitution)... -15 + 6a = 5a - 32
-15 + 6(-17) = -117
5(-17) - 32 = -117
got it???

Answer 6

-15+6a=5a-32
6a-5a=-32+15
a=-17

Answer 7

-15= -a-32
+32 +32
17=-a
A=-17


-15+6(-17)=5(-17)-32
-117=-117

Answer 8

a) b = 2/3 = .sixty six (maximum appropriate!) b) ok = a million/5 = 0.2 (maximum appropriate!) c) w = 5/7 ? 0.714 (maximum appropriate!) d) d = -(2/4) = -(a million/2) = -0.5 (verify) undergo in concepts, the instructions state which you should precise each and every fraction in lowest words. we could take a closer seem: -4d - 3 = -a million -4d = -a million + 3 -4d = 2 d = -(2/4) ===simplify====> d = -(a million/2) = -0.5 (<==answer!) e) t = 7/5 = a million.4 (maximum appropriate!) great job!! i understand you're seeing the solutions as: "Now, divide one via 5" and you punch that into your calculator to get your decimal answer. think of roughly it. in case you assert: "Divide one via 5", you could write a fragment: a million divided via 5 ==> a million / 5 ==> a million/5 desire I helped!