Solve the equation. show all work. 3x - 10 = 5x + 22

1 answer:

5 0

<span>Simplifying 3x + 10 = 5x + 22 Reorder the terms: 10 + 3x = 5x + 22 Reorder the terms: 10 + 3x = 22 + 5x Solving 10 + 3x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 3x + -5x = 22 + 5x + -5x Combine like terms: 3x + -5x = -2x 10 + -2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -2x = 22 + 0 10 + -2x = 22 Add '-10' to each side of the equation. 10 + -10 + -2x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 22 + -10 -2x = 22 + -10 Combine like terms: 22 + -10 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6</span>

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Simplify (xy)^-3/(x^-5y)^3

Nesterboy [21]

$Use:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\a^n:a^m=a^{n-m}\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\a^{-n}=\left(\frac{1}{a}\right)^{n}\\==================================\\\frac{(xy)^{-3}}{(x^{-5}y)^3}=\frac{x^{-3}y^{-3}}{(x^{-5})^3y^3}=\frac{x^{-3}y^{-3}}{x^{-15}y^3}=x^{-3-(-15)}y^{-3-3}=\boxed{x^{12}y^{-6}=\frac{x^{12}}{y^6}}$