1. Solve the equation. -6g = 42
a. g = 7
b. g = -7
c. g = 252
d. g = -252
2. Solve the equation. x/8 = 16
a. x = 128
b. x = 24
c. x = 8
d. x = 2
3. Solve the equation. 12m = 14.4
a. m = 120
b. m = 12
c. m = 1.2
d. m = 0.12
4. Solve the equation. x/3 = -15
a. x = 45
b. x = -45
c. x = 3
d. x = -3
5. Select all of the equations that have a solution of 4. (choose only 2)
a. 5x = 20
b. 8x = -32
c. -4x = 16
d. x/2 = 2
e. x/4 = 16
The answers are B,A,C,B,A and D
K All your answers are correct.
K is correct
It’s a and c
1. To solve the equation -6g = 42, we need to isolate the variable "g" by dividing both sides of the equation by -6.
Dividing both sides by -6, we get:
g = 42 / -6
Simplifying, we have:
g = -7
Therefore, the correct answer is b. g = -7.
2. To solve the equation x/8 = 16, we need to isolate the variable "x" by multiplying both sides of the equation by 8.
Multiplying both sides by 8, we get:
8 * (x/8) = 8 * 16
Simplifying, we have:
x = 128
Therefore, the correct answer is a. x = 128.
3. To solve the equation 12m = 14.4, we need to isolate the variable "m" by dividing both sides of the equation by 12.
Dividing both sides by 12, we get:
m = 14.4 / 12
Simplifying, we have:
m = 1.2
Therefore, the correct answer is c. m = 1.2.
4. To solve the equation x/3 = -15, we need to isolate the variable "x" by multiplying both sides of the equation by 3.
Multiplying both sides by 3, we get:
3 * (x/3) = 3 * -15
Simplifying, we have:
x = -45
Therefore, the correct answer is b. x = -45.
5. To find the equations that have a solution of 4, we can substitute the value 4 for "x" in each equation and see which ones result in a true statement.
a. 5x = 20
Substituting x = 4, we have:
5 * 4 = 20
This is true.
b. 8x = -32
Substituting x = 4, we have:
8 * 4 = -32
This is not true.
c. -4x = 16
Substituting x = 4, we have:
-4 * 4 = 16
This is not true.
d. x/2 = 2
Substituting x = 4, we have:
4/2 = 2
This is true.
e. x/4 = 16
Substituting x = 4, we have:
4/4 = 16
This is not true.
Therefore, the equations that have a solution of 4 are a. 5x = 20 and d. x/2 = 2.
I don't understand any of this which is why I didn't pick answers for you guys to check.
You just have to remember that dividing a number by itself gives a quotient of 1. When it says "solve for x" that means you want to find the value of x all by itself.
SO, if you have
-6g = 42
You just need to divide by the -6 to get g all by itself. Since -6g = 42,
-6g/-6 = 42/-6
(-6/-6)g = -7
g = -7
Then you can check your answer by multiplying by -6 to make sure you get the same original values:
-6g = -6(-7) = 42.
#2 is the same, but instead of dividing, you multiply to get rid of the fraction
x/8 = 16
(x/8)*8 = 16*8
x(8/8) = 128
x = 128
#3 and 4 are just the same, using different numbers.
For #5, just replace every x with a 4 and see whether the statement is true.
5x=20
5(4) = 20
20 = 20
so, yes. x=4 is a solution to that equation.