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Naya [18.7K]
3 years ago
6

Solve the system of equations below.

Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

A) x + y = 8

B) 3x + 2y = 21

We multiply A) by -2

A) -2x -2y  = -16 Then we add this to

B) 3x + 2y = 21

x = 5

y = 3

Second answer is correct

Step-by-step explanation:

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The answer is (12,-23)

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Geometry given right triangle ABC with altitude BD drawn to hvpotenuse AC. If AD = 8
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Step-by-step explanation:

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1 year ago
Kay is making bead necklaces. She has 80 red beads and 64 blue beads. What is the greatest number of identical necklaces she can
RUDIKE [14]

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32

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3 0
2 years ago
Please help! I get how to do the first part I just don't get how to do the second part.
xz_007 [3.2K]

9514 1404 393

Answer:

  WX = 33

  (x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

  WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

  WX = 33

__

The hash marks also tell you ...

  PW = WS

  y +4x = 18 . . . . . . substitute the given expressions

and also

  QX = XR

  2y +x = 22 . . . . . substitute the given expressions

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If you solve the first equation for y, you get ...

  y = 18 -4x

Substituting that into the second equation gives ...

  2(18-4x) +x = 22

  36 -7x = 22 . . . . . . . simplify

  14 = 7x . . . . . . . . . . . add 7x-22 to both sides

  2 = x . . . . . . . . . . . . divide by 7

  y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

__

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

7 0
3 years ago
Solve<br> x2 - 8x + 14 = 2x - 7
BabaBlast [244]

Answer:

x=7, x=3

Step-by-step explanation:

             x^{2} -8x+14=2x-7

x^{2} -8x-2x+14+7=0

            x^{2} -10x+21=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x= \frac{-b\pm \sqrt{b^2-4ac}}{2a}

positive

x=\frac{-\left(-10\right)+\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}

x=7

negative

x=\frac{-\left(-10\right)-\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}

x=3

7 0
3 years ago
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