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Step-by-step simplification of two linear equations by eliminating fractions using multiplication.

$Two equations showing the process of eliminating fractions by multiplying both sides by the least common denominator. Equation 1 multiplies by 10 to simplify $10(-\frac{1}{10}x + \frac{1}{2}y) = 10(\frac{4}{5})$ to $-x + 5y = 8$. Equation 2 multiplies by 21 to simplify $21(\frac{1}{7}x + \frac{1}{3}y) = 21(-\frac{2}{21})$ to $3x + 7y = -2$.$

Two equations showing the process of eliminating fractions by multiplying both sides by the least common denominator. Equation 1 multiplies by 10 to simplify $10(-\frac{1}{10}x + \frac{1}{2}y) = 10(\frac{4}{5})$ to $-x + 5y = 8$. Equation 2 multiplies by 21 to simplify $21(\frac{1}{7}x + \frac{1}{3}y) = 21(-\frac{2}{21})$ to $3x + 7y = -2$.

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