Simplify 4.2 (2x-0.5y) - 2 (4.1x-0.3y)

x = 7.5y

Step-by-step explanation:

Simplifying

4.2 (2x + - 0.5y) + - 2 (4.1x + - 0.3y) = 0

(2x * 4.2 + - 0.5y * 4.2) + - 2 (4.1x + - 0.3y) = 0

(8.4x + - 2.1y) + - 2 (4.1x + - 0.3y) = 0

8.4x + - 2.1y + (4.1x * - 2 + - 0.3y * - 2) = 0

8.4x + - 2.1y + (-8.2x + 0.6y) = 0

Reorder the terms:

8.4x + - 8.2x + - 2.1y + 0.6y = 0

Combine like terms: 8.4x + - 8.2x = 0.2x

0.2x + - 2.1y + 0.6y = 0

Combine like terms: - 2.1y + 0.6y = - 1.5y

0.2x + - 1.5y = 0

Solving

0.2x + - 1.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.5y' to each side of the equation.

0.2x + - 1.5y + 1.5y = 0 + 1.5y

Combine like terms: - 1.5y + 1.5y = 0.0

0.2x + 0.0 = 0 + 1.5y

0.2x = 0 + 1.5y

Remove the zero:

0.2x = 1.5y

Divide each side by '0.2'.

x = 7.5y

Simplifying

x = 7.5y