Question

A)6x-2(3x-7)=14 b)2y+3(y-2)-5(y-3)=0

Answer 1

a) 6x - 6x + 14 = 14

14 = 14

x ∈ R

b) 2y + 3y - 6 - 5y + 15 = 0

9 = 0

y ∈ ∅

Answer 2

Let's solve the given equations step by step:

A) 6x - 2(3x - 7) = 14

To simplify the equation, we can distribute the -2 to the terms inside the parentheses:

6x - 6(3x) + 6(7) = 14

Simplifying further:

6x - 18x + 42 = 14

Combine like terms:

-12x + 42 = 14

Now, we'll isolate the variable by moving constants to the other side:

-12x = 14 - 42

-12x = -28

To solve for x, divide both sides of the equation by -12:

x = (-28) / (-12)

x = 7/3 or approximately 2.33

Therefore, the solution for A) is x = 7/3 or approximately 2.33.

B) 2y + 3(y - 2) - 5(y - 3) = 0

Let's distribute the coefficients:

2y + 3y - 6 - 5y + 15 = 0

Combine like terms:

(2y + 3y - 5y) + (15 - 6) = 0

y + 9 = 0

Now, isolate the variable:

y = -9

Therefore, the solution for B) is y = -9.