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Yanka [14]
3 years ago
9

X-2y=-2; ( ,-2) , (6, ) find order pair linear equation

Mathematics
1 answer:
Sedbober [7]3 years ago
5 0
\bf x-2y=-2\qquad \boxed{(\stackrel{x}{\text{\textemdash} },\stackrel{y}{-2})}\qquad x-2\stackrel{y}{(-2)}=-2\implies x+4=-2
\\\\\\
x=-2-4\implies x=-6\qquad \qquad (\stackrel{x}{-6}~,~\stackrel{y}{-2})\\\\
-------------------------------\\\\
x-2y=-2\qquad \boxed{(\stackrel{x}{6},\stackrel{y}{\text{\textemdash} })}\qquad 
\stackrel{x}{6}-2y=-2\implies -2y=-2-6
\\\\\\
-2y=-8\implies y=\cfrac{-8}{-2}\implies y=4\qquad \qquad (\stackrel{x}{6}~~,~~\stackrel{y}{4})
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The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg

The given parameters;

  • <em>Mass of the apple juice, m = 30 kg</em>
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Let the mass added to increase the percentage to 30% = x

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= \frac{25 \times 30}{10} \\\\= 75 \ kg

The additional mass is calculated as;

x+ 30 = 75\\\\x = 75 - 30\\\\x = 45 \ kg

Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.

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