What value will make the equation 3m+5/4 - -2 true? write ur answer as a fraction the value for 'm' that makes the equation tru is ___.
To solve the equation 3m + 5/4 - -2 = 0, we can simplify it step by step:
First, simplify the expression - -2 to 2: 3m + 5/4 + 2 = 0
Next, get rid of the fractions by multiplying the entire equation by 4: 4*(3m + 5/4 + 2) = 4*0
which gives us: 12m + 5 + 8 = 0
Combine like terms: 12m + 13 = 0
Now, isolate the variable by subtracting 13 from both sides: 12m = -13
Finally, solve for m by dividing both sides by 12: m = -13/12
Therefore, the value for 'm' that makes the equation true is -13/12.
To find the value of 'm' that makes the equation 3m + 5/4 - -2 true, we need to solve the equation for 'm'.
Step 1: Simplify the equation.
3m + 5/4 - -2 can be written as 3m + 5/4 + 2 since double negatives cancel each other out.
Step 2: Determine a common denominator.
The common denominator for 4 and 3 is 12.
Step 3: Convert fractions to have a common denominator.
The equation becomes 3m + (5/4)*(3/3) + (2)*(4/4).
Step 4: Perform the calculations.
The equation simplifies to 3m + 15/12 + 8/4.
Step 5: Add and simplify the fractions.
Combine 15/12 and 8/4 to get 30/12 + 8/4, which equals 38/12.
Step 6: Simplify further, if possible.
The fraction 38/12 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2.
38/12 simplifies to 19/6.
Therefore, the value of 'm' that makes the equation true is 19/6.
To find the value of 'm' that makes the equation true, we need to substitute the given equation with the value 'm' and solve for it.
The given equation is 3m + 5/4 - (-2) = 0.
First, let's simplify the equation by removing the double negative sign:
3m + 5/4 + 2 = 0.
Next, combine like terms:
3m + 13/4 = 0.
To isolate 'm', we need to subtract 13/4 from both sides of the equation:
3m = -13/4.
To solve for 'm', divide both sides of the equation by 3:
m = (-13/4) / 3.
To divide fractions, we multiply by the reciprocal of the divisor:
m = (-13/4) * (1/3).
Multiplying fractions, we multiply the numerators together and the denominators together:
m = (-13 * 1) / (4 * 3).
Simplifying the numerator and denominator:
m = -13/12.
Therefore, the value of 'm' that makes the equation true is -13/12.
using the properties of equality solve the equation 1/4 (8-16g) +8=g
The solution to the equation is g=__
To solve the equation 1/4 (8-16g) + 8 = g, we can follow the steps below:
Step 1: Distribute 1/4 to the terms inside the parentheses:
(1/4)*(8-16g) + 8 = g
2 - 4g + 8 = g
Step 2: Combine like terms:
10 - 4g = g
Step 3: Move the variable terms to one side and the constant terms to the other side:
10 = g + 4g
10 = 5g
Step 4: Solve for g by dividing both sides of the equation by 5:
10/5 = g
2 = g
Therefore, the solution to the equation is g = 2.