Answer:
Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2
Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1
Step-by-step explanation:
We will solve the equations one by one
So,
[tex]14 + 3n = 8n - 3(n-3)[/tex]
Applying Distributive property
[tex]14 + 3n = 8n - 3n+9\\14+3n = 5n+9[/tex]
Subtraction property of equality (Subtracting 14 from both sides)
[tex]14+3n-14 = 5n+9-14\\3n = 5n-5[/tex]
Subtraction property of equality (Subtracting 5n from both sides)
[tex]3n-5n = 5n-5-5n\\-2n = -5[/tex]
Division property of equality (Dividing both sides by -2)
[tex]\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}[/tex]
Second Equation:
[tex]22x + 11 = 4x - 7[/tex]
Subtraction property of equality (Subtracting 11 from both sides)
[tex]22x + 11-11 = 4x - 7-11\\22x = 4x-18[/tex]
Subtraction property of equality (Subtracting 4x from both sides)
[tex]22x-4x = 4x-18-4x\\18x = -18[/tex]
Division property of equality (Dividing both sides by 18)
[tex]\frac{18x}{18} = \frac{-18}{18}\\x = -1[/tex]
Hence
Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2
Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1
