What is the solution of the equation 5/3−2x=1/6 ?(1 point)
Responses
34
Start Fraction 3 over 4 End Fraction
−113
negative Start Fraction 11 over 3 End Fraction
−1112
negative Start Fraction 11 over 12 End Fraction
3
To solve the equation 5/3 - 2x = 1/6, you need to first isolate the variable x.
Start by subtracting 5/3 from both sides of the equation:
2x = 1/6 - 5/3
Next, find a common denominator for the fractions:
2x = 1/6 - 10/6
Combine the fractions:
2x = -9/6
Now, divide both sides of the equation by 2 to solve for x:
x = -9/6 ÷ 2
Simplify the division:
x = -9/12
So, the solution to the equation is x = -9/12, which can also be written as - Start Fraction 11 Over 12. Therefore, the correct solution is -11/12.
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
−30.6
negative 30.6
−1.224
negative 1.224
To solve the equation 0.2x - 2.15 = -8.27, you need to first isolate the variable x.
Start by adding 2.15 to both sides of the equation:
0.2x = -8.27 + 2.15
Combine the numbers on the right side of the equation:
0.2x = -6.12
Now, divide both sides of the equation by 0.2 to solve for x:
x = -6.12 ÷ 0.2
Simplify the division:
x = -30.6
So, the solution to the equation is x = -30.6, which can also be written as negative 30.6. Therefore, the correct solution is -30.6.