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dalvyx [7]
2 years ago
15

If x + y = 5 and at the same time 2x - y = 7. find the value of x

Mathematics
1 answer:
Fed [463]2 years ago
5 0

Answer:

x = 2y − 2

Step-by-step explanation:

x + y + 5 = 2x - y + 7

−x + y + 5 = −y + 7

−x + 5 = −2y +7

−x = −2y + 2

x = 2y − 2

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Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).
kirill115 [55]

Answer:

The Correct option is Last one y=-4x-4

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

Step-by-step explanation:

Given:

y=-4x-3

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

y=-4x-3 ..........Given

Comparing with Slope-Intercept form,  

y=mx+c

Where m =slope  

We get

Slope = m = -4

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

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

Substituting the points and so we will get the required equation of the line,

(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

8 0
3 years ago
Complete the sentence.<br> 32% of 25 is<br> I need all the help I can get!
garik1379 [7]
25x32/100 =8
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5 0
2 years ago
Read 2 more answers
(a) Select all that describe BD. B Perpendicular bisector of AC Angle bisector of LB Median of AABC Altitude of A ABC A None of
Fynjy0 [20]

a) Altitude of triangle ABC

b) Angle bisector of angle H

c) Median of triangle JKL

3 0
1 year ago
Plot the points and find the slope (-3,5) (0,8)
iren [92.7K]
- 3 - 8 = - 11
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3 0
3 years ago
The tempature is -3 degress.The temperature is expected to decrease 2.5 degress each hour until the temperature reaches -18 degr
Andrews [41]

We can set this problem up as an algebraic equation, which we can then solve to find our answer.


We start at -3. So we can start our equation with that:

-3


However, this doesn't represent any change in temperature, just that we start at -3. To show change, we will use the variable x, where x stands for the number of hours. Each hour accounts for a change of -2.5 in degrees, meaning that we must multiply our x by -2.5. We can now add this term into our equation:

-3 - 2.5x


We are trying to find when we will reach -18 degrees, so we will set our entire equation equal to -18 and solve:

-3 - 2.5x = -18

-2.5x = -15

x = 6


It will take us 6 hours, or choice A.

6 0
2 years ago
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