Asked by Pls help
What value will make the equation 3m+54−3m4=−2 true? Write your answer as a fraction.
Answers
Answered by
GPT 3.5
To solve the equation 3m + 5/4 - 3m/4 = -2, we can combine the like terms on the left side of the equation:
(3m - 3m)/4 = -2 - 5/4
Since the terms with "m" cancel out, we are left with:
0 = -8/4 - 5/4
To simplify further, we can subtract the fractions:
0 = -13/4
Since 0 does not equal -13/4, there is no value of "m" that makes the equation true. Therefore, there is no answer to this question.
(3m - 3m)/4 = -2 - 5/4
Since the terms with "m" cancel out, we are left with:
0 = -8/4 - 5/4
To simplify further, we can subtract the fractions:
0 = -13/4
Since 0 does not equal -13/4, there is no value of "m" that makes the equation true. Therefore, there is no answer to this question.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct it.
To solve the equation 3m + 5/4 - 3m/4 = -2, let's simplify the left side of the equation:
(3m - 3m)/4 + 5/4 = -2
Since the terms with "m" cancel out, we are left with:
0/4 + 5/4 = -2
The fractions have the same denominator, so we can add them:
5/4 = -2
To isolate "m", we subtract 5/4 from both sides:
5/4 - 5/4 = -2 - 5/4
0/4 = -8/4
Since 0 is equal to -8/4, the equation is true for any value of "m". Therefore, the value of "m" can be any real number.
Alternatively, we can say that there is no specific fraction value that will make the equation true.
To solve the equation 3m + 5/4 - 3m/4 = -2, let's simplify the left side of the equation:
(3m - 3m)/4 + 5/4 = -2
Since the terms with "m" cancel out, we are left with:
0/4 + 5/4 = -2
The fractions have the same denominator, so we can add them:
5/4 = -2
To isolate "m", we subtract 5/4 from both sides:
5/4 - 5/4 = -2 - 5/4
0/4 = -8/4
Since 0 is equal to -8/4, the equation is true for any value of "m". Therefore, the value of "m" can be any real number.
Alternatively, we can say that there is no specific fraction value that will make the equation true.
Answered by
GPT 3.5
I apologize for the confusion. Upon reviewing the equation, I made an error in my previous response. Let's solve the equation correctly:
To solve the equation 3m + 5/4 - 3m/4 = -2, we can combine the like terms on the left side of the equation:
(3m - 3m)/4 + 5/4 = -2
Since the terms with "m" cancel out, we are left with:
0/4 + 5/4 = -2
The fractions have the same denominator, so we can add them:
5/4 = -2
To isolate "m", we subtract 5/4 from both sides:
5/4 - 5/4 = -2 - 5/4
0 = -8/4
Since 0 is equal to -8/4, the equation is true.
Therefore, the value of "m" can be any real number, as long as the equation is satisfied.
To solve the equation 3m + 5/4 - 3m/4 = -2, we can combine the like terms on the left side of the equation:
(3m - 3m)/4 + 5/4 = -2
Since the terms with "m" cancel out, we are left with:
0/4 + 5/4 = -2
The fractions have the same denominator, so we can add them:
5/4 = -2
To isolate "m", we subtract 5/4 from both sides:
5/4 - 5/4 = -2 - 5/4
0 = -8/4
Since 0 is equal to -8/4, the equation is true.
Therefore, the value of "m" can be any real number, as long as the equation is satisfied.
Answered by
GPT 3.5
Apologies for the confusion in my previous responses. Let's solve the equation correctly to determine the value of "m":
To solve the equation 3m + 5/4 - 3m/4 = -2, let's simplify the left side of the equation:
(3m - 3m)/4 + 5/4 = -2
Since the terms with "m" cancel out, we are left with:
0/4 + 5/4 = -2
The fractions have the same denominator, so we can add them:
5/4 = -2
To isolate "m", we subtract 5/4 from both sides:
5/4 - 5/4 = -2 - 5/4
0/4 = -8/4
Since 0/4 is equal to -8/4, the equation is true. This implies that any value of "m" will satisfy the equation.
Therefore, "m" can be any real number.
To solve the equation 3m + 5/4 - 3m/4 = -2, let's simplify the left side of the equation:
(3m - 3m)/4 + 5/4 = -2
Since the terms with "m" cancel out, we are left with:
0/4 + 5/4 = -2
The fractions have the same denominator, so we can add them:
5/4 = -2
To isolate "m", we subtract 5/4 from both sides:
5/4 - 5/4 = -2 - 5/4
0/4 = -8/4
Since 0/4 is equal to -8/4, the equation is true. This implies that any value of "m" will satisfy the equation.
Therefore, "m" can be any real number.
Answered by
GPT 3.5
Apologies for the confusion. Let's solve the equation correctly to determine the value of "m":
Given equation: 3m + 5/4 - 3m/4 = -2
First, combine the terms with "m" on the left side of the equation:
3m - 3m/4 = -2 - 5/4
To combine the terms, we need to find a common denominator. The common denominator here is 4.
Multiplying the equation by 4 to clear the fraction denominators, we have:
4 * (3m) - (3m/4) * 4 = -2 * 4 - 5/4 * 4
12m - 3m = -8 - 5
9m = -13
Now, let's solve for "m" by dividing both sides of the equation by 9:
m = -13/9
So, the value of "m" that makes the given equation true is -13/9.
Given equation: 3m + 5/4 - 3m/4 = -2
First, combine the terms with "m" on the left side of the equation:
3m - 3m/4 = -2 - 5/4
To combine the terms, we need to find a common denominator. The common denominator here is 4.
Multiplying the equation by 4 to clear the fraction denominators, we have:
4 * (3m) - (3m/4) * 4 = -2 * 4 - 5/4 * 4
12m - 3m = -8 - 5
9m = -13
Now, let's solve for "m" by dividing both sides of the equation by 9:
m = -13/9
So, the value of "m" that makes the given equation true is -13/9.