Mathematics: Solve each equation. For each step. Identify the property used. 14 + 3n = 8n - 3(n-3) 22x + 11 = 4x - 7 (P.S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)

(1,-1)Step-by-step explanation:...

Solve each equation. For each step. Identify the

wrightdarius78

08.02.2022

Solution of 14 + 3n = 8n - 3(n-3) => x = 5/2

Solution of 22x + 11 = 4x - 7 => x=-1

Step-by-step explanation:

We will solve the equations one by one

So,

14 + 3n = 8n - 3(n-3)

Applying Distributive property

$14 + 3n = 8n - 3n+9\\14+3n = 5n+9$

Subtraction property of equality (Subtracting 14 from both sides)

$14+3n-14 = 5n+9-14\\3n = 5n-5$

Subtraction property of equality (Subtracting 5n from both sides)

$3n-5n = 5n-5-5n\\-2n = -5$

Division property of equality (Dividing both sides by -2)

$\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}$

Second Equation:

22x + 11 = 4x - 7

Subtraction property of equality (Subtracting 11 from both sides)

$22x + 11-11 = 4x - 7-11\\22x = 4x-18$

Subtraction property of equality (Subtracting 4x from both sides)

$22x-4x = 4x-18-4x\\18x = -18$

Division property of equality (Dividing both sides by 18)

$\frac{18x}{18} = \frac{-18}{18}\\x = -1$

Hence

Solution of 14 + 3n = 8n - 3(n-3) => x = 5/2

Solution of 22x + 11 = 4x - 7 => x=-1

0,0(0 оценок)