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3 years ago

Can someone help me with this? its solving systems by substitution

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2

5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3

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Why did Christianity spread after Constantinople became the capital?

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Constantine made Christianity the Eastern Roman Empire's official religion.

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4 years ago

The actual length of Lake Superior is 350 miles and the width is 160 miles. What's the length and width of the lake on a map if

pentagon [3]

The correct option is: B. length: 14 cm, width: 6.4 cm

Explanation

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as: 1 cm = 25 miles

Suppose, the length and width of the lake on the map are $x$ cm and $y$ cm respectively.

First, the equation according to the ratio of scaled length to the actual length will be....

$\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14$

Now, the equation according to the ratio of scaled width to the actual width will be....

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7 0

3 years ago

Aaden is 1.75 meters tall. At 11 a.m., he measures the length of a tree's shadow to be 37.65 meters. He stands 32.9 meters away

Ratling [72]

The relationship between Aaden and the tree's height is an illustration of equivalent ratio

The height of the tree is 2.00 meters

At 11 a.m, we have:

$\mathbf{Aaden = 1.75m}$

$\mathbf{Tree\ Shadow = 37.65m}$

$\mathbf{Aaden\ Shadow = 32.9m}$

So, we make use of the following equivalent ratio

$\mathbf{Aaden : Tree = Aaden\ Shadow : Tree\ Shadow}$

This gives

$\mathbf{1.75: Tree = 32.9: 37.65}$

Express as fractions

$\mathbf{\frac{Tree}{1.75} = \frac{37.65}{32.9}}$

Multiply both sides by 1.75

$\mathbf{Tree = \frac{37.65}{32.9} \times 1.75}$

$\mathbf{Tree = 2.00}$

Hence, the height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/18441891

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3 years ago

From a sample of 9,750 Ajax trucks, 273 developed transmission problems within the first two years of operation. What is the pro

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Step-by-step explanation:

Let sample space, S, be the trucks.

Hence, n(S)= number of trucks=9750

Let E be the event of the truck failing within the first two years of operation.

Hence, n(E)=273

Therefore by classical definition of probability, the probability of occurrence of the event E, denoted by P(E), is

P(E)= $\frac{n(E)}{n(S)}$ = $\frac{number of trucks failed within two years of operation}{Total number of trucks}$

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