Question

Solve the following equations:i) x+2/2 =13
ii) 16a -3 = -5
iii) y/10 -12 = 8
iv) -p = 2+p
v) 4x = -2x + 30

Answer 1

Answer:

$1. \: x + \frac{2}{2} = 13 \\ x + 1 = 13 \\ x = 13 - 1 \\ x = 12 \\ \\ 2. \: 16a - 3 =( - 5) \\ 16a = ( - 5) + 3 \\ 16a = ( - 2) \\ a = \frac{ - 2}{16} \\ a = \frac{ - 1}{8} \\ \\ 3. \: \frac{y}{10} - 12 = 8 \\ \frac{y}{10} = 8 + 12 \\ \frac{y}{10} = 20 \\ y = 20 \times 10 \\ y = 200 \\ \\ 4. \: - p = 2 + p \\ - 2 = p + p \\ - 2 = 2p \\ \frac{ - 2}{2} = p \\ - 1 = p \\ \\ 5. \: 4x = - 2x + 30 \\ 4x + 2x = 30 \\ 6x = 30 \\ x = \frac{30}{6} \\ x = 5$