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Schaefer
Mathematics
25 April, 04:54
Simplify 4.2 (2x-0.5y) - 2 (4.1x-0.3y)
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Keagan
25 April, 04:56
0
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
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