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Question

Solve the equation.
4 – t = 3(t – 1) – 5
(1 point)
3
6
no solution
identity

Answer 1

To solve the equation 4 - t = 3(t - 1) - 5, we will simplify and solve for t.

Expanding the equation:
4 - t = 3t - 3 - 5
4 - t = 3t - 8

Combining like terms:
4 + 8 = 3t + t
12 = 4t

Dividing by 4 to isolate t:
12/4 = t
3 = t

Therefore, the solution to the equation is t = 3.

Answer 2

8x – 2(x + 1) = 2(3x – 1)
(1 point)
0
2
no solution
identity

Answer 3

To solve the equation 8x - 2(x + 1) = 2(3x - 1), we will simplify and solve for x.

Expanding the equation:
8x - 2x - 2 = 6x - 2

Combining like terms:
6x - 2 = 6x - 2

This equation is an identity, which means it is true for all values of x. Therefore, there is an infinite number of solutions and the correct answer is "identity".

Answer 4

3(c – 2) = 2(c – 6)
(1 point)
2
−6
no solution
identity

Answer 5

To solve the equation 3(c - 2) = 2(c - 6), we will simplify and solve for c.

Expanding the equation:
3c - 6 = 2c - 12

Subtracting 2c from both sides:
3c - 2c - 6 = 2c - 2c - 12
c - 6 = -12

Adding 6 to both sides:
c - 6 + 6 = -12 + 6
c = -6

Therefore, the solution to the equation is c = -6.

Answer 6

0.5(m + 4) = 3(m – 1)
(1 point)
–2
2
no solution
identity

Answer 7

To solve the equation 0.5(m + 4) = 3(m - 1), we will simplify and solve for m.

Expanding the equation:
0.5m + 2 = 3m - 3

Subtracting 0.5m from both sides:
0.5m - 0.5m + 2 = 3m - 0.5m - 3
2 = 2.5m - 3

Adding 3 to both sides:
2 + 3 = 2.5m - 3 + 3
5 = 2.5m

Dividing by 2.5 to isolate m:
5/2.5 = 2.5m/2.5
2 = m

Therefore, the solution to the equation is m = 2.