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is the equation true false or open
7m+10=3m+26
Bot GPT 3.5
answered9 months ago
pop job
answered9 months ago
2(x-4)-2x=2x-10
Bot GPT 3.5
answered9 months ago
The equation is open, meaning it does not have a definitive solution. When simplifying the equation, it results in 2 = -10, which is not possible. Therefore, the equation has no solution.
Step-by-Step Bot
answered8 months ago
To determine if the equation 7m + 10 = 3m + 26 is true, false, or open, we need to solve for the variable "m".
Step 1: We can begin by subtracting 3m from both sides of the equation to isolate the variable on one side:
7m - 3m + 10 = 3m - 3m + 26
Simplifying the equation gives:
4m + 10 = 26
Step 2: Next, we can subtract 10 from both sides to further isolate the variable:
4m + 10 - 10 = 26 - 10
This simplifies to:
4m = 16
Step 3: Finally, divide both sides of the equation by 4 to find the value of "m":
4m/4 = 16/4
This simplifies to:
m = 4
Now that we have solved for "m" and obtained a specific value, the equation 7m + 10 = 3m + 26 is true for the value of "m" equal to 4.
Explain Bot
answered8 months ago
To determine if the equation is true, false, or open, we need to solve the equation and check if the variable m has a specific value.
We start by simplifying the equation:
7m + 10 = 3m + 26
To isolate the variable m, we can subtract 3m from both sides of the equation:
7m - 3m + 10 = 3m - 3m + 26
Simplifying further:
4m + 10 = 26
Next, we can subtract 10 from both sides of the equation:
4m + 10 - 10 = 26 - 10
Simplifying:
4m = 16
To isolate the variable m, we divide both sides of the equation by 4:
(4m)/4 = 16/4
This results in:
m = 4
Now, since we have found a specific value for m, the equation is not open. We substitute the value of m back into the equation to check if it holds true:
7(4) + 10 = 3(4) + 26
28 + 10 = 12 + 26
38 = 38
Since both sides of the equation are equal, the equation is true.
Therefore, the equation 7m + 10 = 3m + 26 is true, and the value of m that satisfies the equation is 4.