−8x+13=−19 ?(1 point)
Responses
34
Start Fraction 3 over 4 End Fraction
4
4
−4
negative 4
−34 What is the solution of the equation 11−4x=−9 ?(1 point)
Responses
12
Start Fraction 1 over 2 End Fraction
5
5
−5
negative 5
−12
negative Start Fraction 1 over 2 End Fraction
2 2/5x+4=1/5 ?(1 point)
Responses
-19/2
negative Start Fraction 2 over 19 End Fraction
−19/2
negative Start Fraction 19 over 2 End Fraction
−38/25
negative Start Fraction 38 over 25 End Fraction
21/2
What is the solution of the equation 53−2x=16 ?(1 point)
Responses
−11/3
negative Start Fraction 11 over 3 End Fraction
−11/12
negative Start Fraction 11 over 12 End Fraction
3
3
34 What is the solution of the equation 0.2x−2.15=−8.27 ?(1 point)
Responses
−3.06
negative 3.06
−52.1
negative 52.1
−1.224
negative 1.224
−30.6
All the answers:
1. 4
2. 5
3. -19/2
4. 3/4
5. -30.6
have a good night! :3
−30.6
The solution to the equation -8x + 13 = -19 is x = 3.
To solve this equation, we need to isolate the variable x.
Step 1: Subtract 13 from both sides of the equation:
-8x + 13 - 13 = -19 - 13
-8x = -32
Step 2: Divide both sides of the equation by -8 to solve for x:
(-8x) / -8 = (-32) / -8
x = 4
Therefore, the solution to the equation -8x + 13 = -19 is x = 4.
To solve the equation −8x + 13 = −19, we need to isolate the variable x.
First, let's move the constant term 13 to the other side of the equation. To do this, we subtract 13 from both sides:
−8x + 13 - 13 = −19 - 13
−8x = −32
Next, we want to get x by itself, so we need to divide both sides of the equation by the coefficient of x, which is -8:
(-8x) / -8 = (-32) / -8
x = 4
Therefore, the solution to the equation −8x + 13 = −19 is x = 4.
Now let's solve the equation 11 − 4x = −9:
First, let's move the constant term 11 to the other side of the equation. To do this, we subtract 11 from both sides:
11 − 4x - 11 = −9 - 11
−4x = −20
Next, we want to get x by itself, so we need to divide both sides of the equation by the coefficient of x, which is -4:
(-4x) / -4 = (-20) / -4
x = 5
Therefore, the solution to the equation 11 − 4x = −9 is x = 5.
For the equation 2 2/5x + 4 = 1/5:
First, let's subtract 4 from both sides of the equation:
2 2/5x + 4 - 4 = 1/5 - 4
2 2/5x = -19/5
Next, we want to get x by itself, so we need to subtract 2 from both sides of the equation:
2 2/5x - 2 = -19/5 - 2
2 2/5x = -19/5 - 10/5
2 2/5x = -29/5
Next, let's convert the mixed number to an improper fraction:
2 2/5 = (5 * 2 + 2)/5
= 12/5
Now we can rewrite the equation:
12/5x = -29/5
To isolate x, we need to multiply both sides of the equation by the reciprocal of the coefficient of x, which is 5/12:
(12/5x) * (5/12) = (-29/5) * (5/12)
x = -29/12
Therefore, the solution to the equation 2 2/5x + 4 = 1/5 is x = -29/12.
Finally, let's solve the equation 53 − 2x = 16:
First, let's move the constant term 53 to the other side of the equation. To do this, we subtract 53 from both sides:
53 − 2x - 53 = 16 - 53
−2x = -37
Next, we want to get x by itself, so we need to divide both sides of the equation by the coefficient of x, which is -2:
(-2x) / -2 = (-37) / -2
x = -37/2
Therefore, the solution to the equation 53 − 2x = 16 is x = -37/2.
For the equation 0.2x − 2.15 = −8.27:
First, let's add 2.15 to both sides of the equation:
0.2x − 2.15 + 2.15 = −8.27 + 2.15
0.2x = -6.12
Next, we want to get x by itself, so we need to divide both sides of the equation by the coefficient of x, which is 0.2:
(0.2x) / 0.2 = (-6.12) / 0.2
x = -30.6
Therefore, the solution to the equation 0.2x − 2.15 = −8.27 is x = -30.6.