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4 years ago

How do I do this problem? (5-8)

Mathematics

1 answer:

MissTica4 years ago

8 0

5. Answer: (-3, 2)

<u>Step-by-step explanation:</u>

In order to use the substitution method, you need to solve for one of the variables.

2x + 4y = 2

x + y = -1 → y = -x - 1

2x + 4(-x - 1) = 2

2x - 4x - 4 = 2

-2x - 4 = 2

-2x = 6

x = -3

y = -x - 1

= -(-3) - 1

= 3 - 1

= 2

Check:

2x + 4y = 2

2(-3) + 4(2) = 2

-6 + 8 = 2

2 = 2 $\checkmark$

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Step-by-step explanation:

We have 20 questions.

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3 years ago

Beniah sells hats and umbrellas. He charges 57.75 per hat and $9.50 per umbrella. Last week he sold 90 items for a total

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2 years ago

Help solve the above equation

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Answer:

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Step-by-step explanation:

$n^{-\frac{2}{3}}=9$

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Hope this helps!

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3 years ago

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s2008m [1.1K]

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4 years ago

The population of Garden City in 1995 was 2,400. In 200, the population was 4,000. Write a linear equation in slope-intercept fo

cricket20 [7]

Answer:

$y = 320x +2080$

Step-by-step explanation:

Given

Population in 1995 = 2400

Population in 2000 = 4000

Required

Determine the linear equation

Let the years be represented with x.

In 1995, x = 1 i.e. the first year

In 2000, x = 6

Let y represents the population

When x = 1; y = 2400

When x = 6; y = 4000

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{4000 - 2400}{6 - 1}$

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$m = 320$

Next, we calculate the line equation as follows:

$y - y_1 = m(x - x_1)$

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$y - 2400 = 320x - 320$

$y = 320x - 320 + 2400$

$y = 320x +2080$

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3 years ago