Solve and check.
a - 8 = -20
The solution is a = [ ] (Type an integer or a simplified fraction.)
To solve the equation, we can isolate the variable "a" by adding 8 to both sides:
a - 8 + 8 = -20 + 8
This simplifies to:
a = -20 + 8
a = -12
The solution is a = -12. Let's check if it's correct by substituting it back into the original equation:
-12 - 8 = -20
-20 = -20
Since both sides of the equation are equal, we can conclude that the solution a = -12 is correct.
Solve and check.
x / 6 = -8
The solution is x = [ ]
To solve the equation, we can isolate the variable "x" by multiplying both sides by 6:
6 * (x / 6) = -8 * 6
This simplifies to:
x = -48
The solution is x = -48. Let's check if it's correct by substituting it back into the original equation:
(-48) / 6 = -8
-8 = -8
Since both sides of the equation are equal, we can conclude that the solution x = -48 is correct.
Solve and check.
3/4y = 9
The solution is y = [ ] (Simplify your answer.)
To solve the equation, we can isolate the variable "y" by multiplying both sides by the reciprocal of 3/4, which is 4/3:
(4/3) * (3/4y) = (4/3) * 9
This simplifies to:
y = 12
The solution is y = 12. Let's check if it's correct by substituting it back into the original equation:
3/4(12) = 9
9 = 9
Since both sides of the equation are equal, we can conclude that the solution y = 12 is correct.
Solve the equation. Check your answer.
22 = x / 3 + 6
x = [ ] (simplify your answer)
To solve the equation, we can start by subtracting 6 from both sides:
22 - 6 = x/3
This simplifies to:
16 = x/3
To isolate x, we can multiply both sides by 3:
3 * 16 = x
This simplifies to:
48 = x
The solution is x = 48. Now let's check if it's correct by substituting it back into the original equation:
22 = 48/3 + 6
22 = 16 + 6
22 = 22
Since both sides of the equation are equal, we can conclude that the solution x = 48 is correct.
Solve the equation. Check your answer.
k - 1 / 3 = 10
k = [ ] (Type an integer or a decimal.)
To solve the equation, we can start by multiplying both sides by 3 to eliminate the fraction:
3(k - 1/3) = 3(10)
This simplifies to:
3k - 1 = 30
Next, we can add 1 to both sides:
3k - 1 + 1 = 30 + 1
This simplifies to:
3k = 31
Finally, we divide both sides by 3 to solve for k:
(3k)/3 = 31/3
This simplifies to:
k = 31/3
The solution is k = 31/3, which is a decimal value approximately equal to 10.33. Let's check if it's correct by substituting it back into the original equation:
k - 1/3 = 10
(31/3) - 1/3 = 10
30/3 = 10
10 = 10
Since both sides of the equation are equal, we can conclude that the solution k = 31/3 is correct.