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inna [77]
3 years ago
6

Solve y=-1/4x+2 2x+8y=-40

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

No solution

Step-by-step explanation:

This is just a simple system of equations.

y=-1/4x+2

8y+2x=-40

Get the same variables onto their corresponding sides, so it will look like this:

y=-1/4x+2

8y=-2x-40

Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.

8y=-2x+16

8y=-2x+40.

But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.

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Y is inversely proportional to x.
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Answer:

1. xy = 63

2. y = 3

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

y\ \alpha\ \frac{1}{x}

Convert variation to equation

y\ = \frac{k}{x} ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

7 = \frac{k}{9}

Multiply both sides by 9

9 * 7 = 9 * \frac{k}{9}

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Substitute 63 for k in equation 1

y = \frac{63}{x}

Multiply both sides by x

x * y = \frac{63}{x} * x

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Hence, the equation connecting x and y is xy = 63

Solving for when x = 21

Substitute 21 for x in the above equation

21 * y = 63

Divide both sides by 21

\frac{21 * y}{21} = \frac{63}{21}

y = 3

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