Question

Solve the equation for t.

1/2 t +8 = 5/2 t - 10​

Answer 1

t = 9.

Explanation:

1/2 t + 8 = 5/2 t - 10

- 8 -5/2 t

1/2 t - 5/2 t = -10 - 8

-2t = -18

t = 9.

Answer 2

Simplif 1/2t to t/2

t/2 + 8 = 5/2t - 10

Simplify 5/2t to 5t/2

t/2 + 8 = 5t/2 - 10

Multiply both sides by 2

t + 16 = 5t - 20

Subtract t from both sides

16 = 5t - 20 - t

Simplify 5t - 20 - t to 4t - 20

16 = 4t - 20

Add 20 to both sides

16 + 20 = 4t

Simplify 16 + 20 to 36

36 = 4t

Divide both sides by 4

36/4 = t

Simplify 36/4 to 9

9 = t

Switch sides

t = 9