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2 years ago

2x + y = -4 x + 4y = 12 Solve both for y

Mathematics

1 answer:

geniusboy [140]2 years ago

7 0

Answer: y=−6x

Step-by-step explanation: Add -2x to both sides.

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lbvjy [14]

Answer:

$\sf \: \fbox{Option C) \: The salary of B is 6000₹}$

Step-by-step explanation:

Let the salary or A is x and salary of B is y.

now,

Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.

writing above statement in equation form,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000$

Multiplying above equation with twelve,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1$

and condition two,

The difference of their salaries is ₹2000

$\sf \: x - y = 2000$

Multiplying above equation with 20

$\sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2$

On adding equation 1 and equation 2,

$\sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}$

Substituting the value of x in,

$\sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}$

$\sf \: \fbox{The salary of B is 6000₹}$

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2 years ago

A store pays $81 for a lawn ornament. The store marks up the price by 10%. What is the amount of the mark-up?

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2 years ago

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Step-by-step explanation:

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3 years ago

What is the slope of the line x + 5y = 9?

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Answer:

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Step-by-step explanation:

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3 years ago

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