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Lemur [1.5K]
3 years ago
14

Solve the following system of equations: −2x + y = 1 −4x + y = −1

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

<h2>x = 1, y = 3 → (1, 3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}-2x+y=1\\-4x+y=-1&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=1\\4x-y=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it to the first equation:}\\\\-2(1)+y=1\\-2+y=1\qquad\text{add 2 to both sides}\\y=3

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23 20' 48" is the same as _____. Round to the nearest hundredth of a degree.
boyakko [2]
So this is read as 23 degrees, 20 minutes, and 48 seconds.  Each degree has 60 minutes and each minute has 60 seconds, somewhat like time.  You must start from right to left for this to work.  This may seem complicated but the way to find this is as follows:  
23+(20+(48/60))/60.  A simpler way to see this is by first taking 48/60 which is .8.  Now you take 20+.8 which is 20.8 and you divide it by 60 once more.  This comes out to be approximately .35.  Now you have converted the seconds and minutes to degrees so you add 23+.35 which is 23.35.  Therefore your answer is 23.35 degrees.  
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How do I place numbers on a Coordinate plans
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Use the x and y coordinates

Step by Step Explanation:

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3 years ago
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3 years ago
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Im not sure if anyone knows how to do this but if u do could u pleaseee help me with this!!!
slavikrds [6]

Answer:

y = -2x - 5

Step-by-step explanation:

<u>1) Find the slope of the line.</u>

The slope of the original line is the same as the slope of the parallel line.

Slope formula:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

In this case you can choose any 2 set of points on the table.

m = \frac{4 - 2}{-3 - (-2)} = \frac{4 - 2}{-3 + 2} = \frac{2}{-1} = -2

So the slope of the line is -2

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Point-slope formula:

y - y_{1}  = m(x - x_{1})

Now plug in the point (0, -5) and the slope -2 into the equation.

y - (-5) = -2(x - 0)

y + 5 = -2(x - 0)

To solve the equation first apply the distributive property.

y + 5 = -2x + 0

y + 5 = -2x

Next, subtract 5 from sides.

y = -2x - 5

You know have your equation in point-slope form!

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