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Lelechka [254]
1 year ago
6

Solve the following system of equations , and find the ordered pair. X =-y-6 and -7x +6y=-10

Mathematics
1 answer:
Blababa [14]1 year ago
5 0

Given:

There are given the equation:

\begin{gathered} x=-y-6...(1) \\ -7x+6y=-10...(2) \end{gathered}

Explanation:

From the equation (1):

Put the value of x into the equation (2):

So,

From the equation (2):

\begin{gathered} \begin{equation*} -7x+6y=-10 \end{equation*} \\ -7(-y-6)+6y=-10 \\ 7y+42+6y=-10 \\ 13y=-10-42 \\ 13y=-52 \\ y=-4 \end{gathered}

Now,

Put the value of y into the equation (1):

So,

From the first equation:

\begin{gathered} \begin{equation*} x=-y-6 \end{equation*} \\ x=-(-4)-6 \\ x=4-6 \\ x=-2 \end{gathered}

Final answer:

Hence, the ordered pair of the solution is shown below:

(-2,-4)

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Integers are also known as....
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5 0
3 years ago
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only onc
Bond [772]

Answer:

First, we can write a fraction as a/b

Where a is the numerator, and b is the denominator.

A proper fraction is a fraction where the numerator is smaller than the denominator.

Using only the given numbers (only once per fraction), some examples of proper fractions are:

3/5

3/8

5/8

3/85

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5/83

5/38

8/35

8/53

You can see that in all of them the denominator is larger than the numerator.

The improper fractions are those where the numerator is equal or larger than the denominator.

The 9 examples using the given numbers are:

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6 0
3 years ago
PLEASE ANSWER ASAP! YOUR ANSWER MUST REQUIRE AN EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER!!! THANKS!!!
KIM [24]
Hello,

Using vectors and scalar product:

[(a+c)*\vec{i}+(b-0)*\vec{j} ].[(a-c)*\vec{i}+(b-0)*\vec{j}]=0
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\dfrac{b^2}{(a+c)(a-c)}=1

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Answer A




8 0
3 years ago
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