Is the following equation 7m +10 = 3m + 26 true, false or open. Choose the correct answer from the following a) open b) true c) false
b) true
Are you sure it is true and not open?
You are correct, I apologize for the mistake. The correct answer is a) open.
To check if the equation 7m + 10 = 3m + 26 is true, false, or open, we need to solve the equation to find the value of "m."
Step 1: Group like terms.
7m - 3m + 10 = 3m - 3m + 26
4m + 10 = 26
Step 2: Subtract 10 from both sides.
4m + 10 - 10 = 26 - 10
4m = 16
Step 3: Divide both sides by 4.
4m/4 = 16/4
m = 4
Now that we have found the value of "m" (which is 4), we can check if the equation is true or false.
Substituting m = 4 into the original equation:
7m + 10 = 3m + 26
7(4) + 10 = 3(4) + 26
28 + 10 = 12 + 26
38 = 38
Since both sides of the equation are equal, the original equation 7m + 10 = 3m + 26 is true.
Therefore, the correct answer is b) true.
To determine whether the equation 7m + 10 = 3m + 26 is true, false, or open, we need to solve the equation by isolating the variable m.
First, we can simplify both sides of the equation by combining like terms:
7m + 10 = 3m + 26
Next, let's move all the m terms to one side and the constant terms to the other side. We can do this by subtracting 3m from both sides:
7m - 3m + 10 = 3m - 3m + 26
4m + 10 = 26
Now, subtract 10 from both sides:
4m + 10 - 10 = 26 - 10
4m = 16
Finally, divide both sides of the equation by 4 to solve for m:
4m/4 = 16/4
m = 4
By solving the equation, we found that m = 4. Thus, the equation 7m + 10 = 3m + 26 is true when m = 4.
Therefore, the correct answer is b) true.