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Varvara68 [4.7K]
2 years ago
8

What is the substitution of -6x-8y=-20 and x+6y=-6

Mathematics
2 answers:
ale4655 [162]2 years ago
5 0

Substitution doesn't work for this, but elimination does.

-6x-8y=-20 +6( x+6y=-6)

-6x-8y=-20 + 6x+36y=-36

-6x and 6x cancel each other, add -8 and 36 to get 28, and -20 and -36 to get -56.

28y=-56

divide by 28 on both sides.

Y= -2

Then substitute y into one of the equations.

x+6(-2)=-6

x-12=-6

x=6

The ordered pair is (6,-2).

liberstina [14]2 years ago
3 0

x=-4/3y+10/3 and x=-6-6y

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Step-by-step explanation:

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Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and
Step2247 [10]

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

OA = 2x + 9y

OB = 4x + 8y

CD = 4x - 2y

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

AB = (c - a)x + (d - b)y

Where:

OA = ax + by ====> OA = 2x + 9y

OB = cx + dy ====> OB = 4x + 8y

This implies that:

a =2      b = 9     c = 4   d = 8  

So:

AB = (c - a)x + (d - b)y

AB = (4 - 2)x + (8 - 9)y

AB = 2x  -y

So, we have:

AB = 2x  -y

CD = 4x - 2y

Calculate the slope (m) of AB\ and\ CD

m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}

For AB

m_1 = \frac{-1}{2}

m_1 = -\frac{1}{2}

For CD

m_2 = \frac{-2}{4}

m_2 = \frac{-1}{2}

m_2 = -\frac{1}{2}

By comparison:

m_1 = m_2 = -\frac{1}{2}

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3 years ago
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2 years ago
Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and he packages 20 cookies together for
DaniilM [7]

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

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Therefore,

They sold 60 muffins and 60 cookies yesterday

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