Question

3/14=21/2(х+31) 9/10=63/5(х+8)

Answer 1

3/14=21/2(х+31)

3/14=21/(2х+62)

6х+186=294

6х=108

х=18

 

9/10=63/5(х+8)

9/10=63/(5х+40)

45х+360=630

45х=270

х=6

Answer 2

To solve the equations, we'll start by simplifying them step by step.

Equation 1:

3/14 = 21/2(x + 31)

To eliminate the denominators, we can multiply both sides of the equation by the least common multiple (LCM) of 14 and 2, which is 14:

14 * (3/14) = 14 * (21/2(x + 31))

Cancel out the 14 on the left side:

3 = 21(x + 31)

Distribute 21 on the right side:

3 = 21x + 651

Move the constant term to the left side:

3 - 651 = 21x

Combine like terms:

-648 = 21x

Divide both sides by 21:

-648/21 = x

x ≈ -30.857

So, the solution to the first equation is x ≈ -30.857.

Equation 2:

9/10 = 63/5(x + 8)

To eliminate the denominators, we can multiply both sides of the equation by the LCM of 10 and 5, which is 10:

10 * (9/10) = 10 * (63/5(x + 8))

Cancel out the 10 on the left side:

9 = 126(x + 8)

Distribute 126 on the right side:

9 = 126x + 1008

Move the constant term to the left side:

9 - 1008 = 126x

Combine like terms:

-999 = 126x

Divide both sides by 126:

-999/126 = x

x ≈ -7.929

So, the solution to the second equation is x ≈ -7.929.

Therefore, the solutions to the given equations are:

x ≈ -30.857 x ≈ -7.929