Answer:
x = 7.5y
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