Question

Solve each of the following equations and also check your results in each case:

1. (2x+5)/3 = 3x – 10

2. (a-8)/3 = (a-3)/2

3. (7y + 2)/5 = (6y – 5)/11

4. x – 2x + 2 – 16/3x + 5 = 3 – 7/2x

5. 1/2x + 7x – 6 = 7x + 1/4​

Answer 1

Step-by-step explanation:

• (2x+5)/3 = 3x – 10
• 2x + 5 = 9x - 30
• 7x = 35
• x = 35/7

• (a-8)/3 = (a-3)/2
• 2(a-8) = 3(a-3)
• 2a - 16 = 3a - 9
• a = -7

• (7y + 2)/5 = (6y – 5)/11
• 11(7y + 2) = 5(6y – 5)
• 77y + 22 = 30y - 25
• 47y = -47
• y = -1

• x – 2x + 2 – 16/3x + 5 = 3 – 7/2x
• -x + 7 – 16x/3 = 3 – 7x/2
• 4 = 16x/3 - 7x/2 + x
• 4 = 32x/6 - 21x/6 + 6x/6
• 4 = 17x/6
• x = 24/17

• 1/2x + 7x – 6 = 7x + 1/4
• x/2 = 1/4 + 6
• x/2 = 25/4
• x = 25/2