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Brilliant_brown [7]
3 years ago
12

What is the solution to the linear system of equations? y = 3x + 1 y = –x + 5

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0
<span>y = 3x + 1
y = –x + 5

3x + 1 = -x + 5
4x + 1 = 5
4x = 4

x = 1

y = 3(1) + 1
y = 3 + 1
y = 4

The solution to the linear system of equations is (1, 4).</span>
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What is the slope and equation of a line parallel to the y-axis passing through point (2,-5)
shepuryov [24]

Answer: x=2

Step-by-step explanation:

Given

Line passes through (2,-5)

and parallel to y-axis

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slope of y-axis is \tan 90^{\circ}

Now Equation of line is given by

\Rightarrow \dfrac{y-(-5)}{x-2}=\tan 90^{\circ}

we know \tan 90 \rightarrow \infty

x-2 must be zero for \dfrac{y-(-5)}{x-2}\rightarrow \infty

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3 years ago
What is -11 2/3 - (-4 1/5)
rosijanka [135]

Answer:

-7 7/15

Step-by-step explanation:

-11 2/3 -(-4 1/5) = -11 2/3 + 4 1/5. Now, we need to find the LCM of 3 and 5. The LCM of 3 and 5 is 15 because 15 is the lowest number that can divide both 3 and 5 separately and both results will still be whole numbers.

Now, we have -11 10/15 + 4 3/15.

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4 0
3 years ago
The first number in a multiplication problem is called the
uysha [10]
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4 0
4 years ago
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Anettt [7]
Given:
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3 years ago
The coordinates of Point S are (2/5, 9 1/8). The coordinates of Point T are (-5 7/10, 9 1/8). What is the distance between Point
m_a_m_a [10]

something noteworthy, the y-coordinate for each point is the same, 9⅛, that means is a horizontal line, over which the x-coordinates are at, so since it's a horizontal line, all we need to do is find, what's the distance between \bf \frac{2}{5}\textit{ and }-5\frac{7}{10}

of course, let's firstly convert the mixed fraction to improper fraction and then check their difference.

\bf \stackrel{mixed}{5\frac{7}{10}}\implies \cfrac{5\cdot 10+7}{10}\implies \stackrel{improper}{\cfrac{57}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{5}-\left[-\cfrac{57}{10} \right]\implies \cfrac{2}{5}+\cfrac{57}{10}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{(2)2+(1)57}{10}}\implies \cfrac{4+57}{10}\implies \cfrac{61}{10}\implies 6\frac{1}{10}

4 0
3 years ago
Read 2 more answers
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