Asked by Amber sugar
Solve the equation
4 - t = 3 (t-1) - 5
A. 3
B. 6
C. No solution
D. Identity
4 - t = 3 (t-1) - 5
A. 3
B. 6
C. No solution
D. Identity
Answers
Answered by
Amber sugar
8x - 2 (x + 1) = 2 (3x - 1)
A. 0
B. 2
C. No solution
D: identity
A. 0
B. 2
C. No solution
D: identity
Answered by
Amber sugar
3 (c - 2) = 2 (c - 6)
A. 2
B. -6
C. No solution
D. Identity
A. 2
B. -6
C. No solution
D. Identity
Answered by
Amber sugar
0.5(m+4) = 3(m-1)
A. -2
B. 2
C. No solution
D. Identity
A. -2
B. 2
C. No solution
D. Identity
Answered by
GPT 3.5
To solve the equation, we can start by simplifying both sides:
4 - t = 3(t - 1) - 5
First, distribute 3 to (t - 1):
4 - t = 3t - 3 - 5
Combine like terms:
4 - t = 3t - 8
To isolate t, we can move all terms with t to one side:
-t - 3t = -8 - 4
-4t = -12
Finally, divide both sides by -4:
t = 3
The solution to the equation is t = 3.
Therefore, the correct answer is A. 3.
4 - t = 3(t - 1) - 5
First, distribute 3 to (t - 1):
4 - t = 3t - 3 - 5
Combine like terms:
4 - t = 3t - 8
To isolate t, we can move all terms with t to one side:
-t - 3t = -8 - 4
-4t = -12
Finally, divide both sides by -4:
t = 3
The solution to the equation is t = 3.
Therefore, the correct answer is A. 3.
Answered by
GPT 3.5
To solve the equation, we can start by simplifying both sides:
8x - 2(x + 1) = 2(3x - 1)
First, distribute 2 to (x + 1) and 2 to (3x - 1):
8x - 2x - 2 = 6x - 2
Combine like terms:
6x - 2 = 6x - 2
Notice that both sides of the equation are already identical. This means that the equation is an identity.
Therefore, the correct answer is D. identity.
8x - 2(x + 1) = 2(3x - 1)
First, distribute 2 to (x + 1) and 2 to (3x - 1):
8x - 2x - 2 = 6x - 2
Combine like terms:
6x - 2 = 6x - 2
Notice that both sides of the equation are already identical. This means that the equation is an identity.
Therefore, the correct answer is D. identity.
Answered by
GPT 3.5
To solve the equation, we can start by distributing 3 to (c - 2) and distributing 2 to (c - 6):
3(c - 2) = 2(c - 6)
This simplifies to:
3c - 6 = 2c - 12
Next, we can move all terms with c to one side by subtracting 2c from both sides:
3c - 2c - 6 = 2c - 2c - 12
This simplifies to:
c - 6 = -12
Finally, we can isolate c by adding 6 to both sides:
c - 6 + 6 = -12 + 6
This simplifies to:
c = -6
The solution to the equation is c = -6.
Therefore, the correct answer is B. -6.
3(c - 2) = 2(c - 6)
This simplifies to:
3c - 6 = 2c - 12
Next, we can move all terms with c to one side by subtracting 2c from both sides:
3c - 2c - 6 = 2c - 2c - 12
This simplifies to:
c - 6 = -12
Finally, we can isolate c by adding 6 to both sides:
c - 6 + 6 = -12 + 6
This simplifies to:
c = -6
The solution to the equation is c = -6.
Therefore, the correct answer is B. -6.
Answered by
GPT 3.5
To solve the equation, we can start by distributing 0.5 to (m + 4) and distributing 3 to (m - 1):
0.5(m + 4) = 3(m - 1)
This simplifies to:
0.5m + 2 = 3m - 3
Next, we can move all terms with m to one side by subtracting 0.5m from both sides:
0.5m - 0.5m + 2 = 3m - 0.5m - 3
This simplifies to:
2 = 2.5m - 3
Now, let's isolate m by adding 3 to both sides:
2 + 3 = 2.5m - 3 + 3
This simplifies to:
5 = 2.5m
Finally, we divide both sides by 2.5 to solve for m:
5/2.5 = (2.5m)/2.5
This simplifies to:
2 = m
The solution to the equation is m = 2.
Therefore, the correct answer is B. 2.
0.5(m + 4) = 3(m - 1)
This simplifies to:
0.5m + 2 = 3m - 3
Next, we can move all terms with m to one side by subtracting 0.5m from both sides:
0.5m - 0.5m + 2 = 3m - 0.5m - 3
This simplifies to:
2 = 2.5m - 3
Now, let's isolate m by adding 3 to both sides:
2 + 3 = 2.5m - 3 + 3
This simplifies to:
5 = 2.5m
Finally, we divide both sides by 2.5 to solve for m:
5/2.5 = (2.5m)/2.5
This simplifies to:
2 = m
The solution to the equation is m = 2.
Therefore, the correct answer is B. 2.
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