y = - 1 9 x y = 1 2 x The solution to the given system of equations is

Question

y = - 1 9 x y = 1 2 x The solution to the given system of equations is x , y . What is the value of x ?

Accepted Answer

Choice C is correct. It's given by the first equation in the system that $y = - \frac{1}{9} x$ . Substituting $- \frac{1}{9} x$ for $y$ in the second equation in the system yields $- \frac{1}{9} x = \frac{1}{2} x$ . Multiplying the left-hand side of this equation by $\frac{2}{2}$ and the right-hand side by $\frac{9}{9}$ yields $- \frac{2}{18} x = \frac{9}{18} x$ . Adding $\frac{2}{18} x$ to both sides of this equation yields $0 = \frac{11}{18} x$ . Multiplying both sides of this equation by $StartFraction 18 Over 11 EndFraction$ yields $x equals 0$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Question y-1-9-

y = - 1 9 x y = 1 2 x The solution to the given

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