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lys-0071 [83]
3 years ago
11

Which ordered pair in the form (a, b) is a solution of this equation?

Mathematics
2 answers:
Alinara [238K]3 years ago
6 0
Substitute the first number in the (  ) for a and the second for b
3(-3)-4(-2)
-9+8 does not =21

B.  3(0)-4(7)
0-28 does not = 21

C.  3(-2)-4(-3)
-6+12 does not =21

D. 3(7)-4(0)= 21 yeah

answer is D (7,0)

hope this helps


allochka39001 [22]3 years ago
5 0
3(7)-4(0)=21
3*7=21-0=21
the answer is D
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determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y
grandymaker [24]

Answer:

  1. (x, y) = (3, 5)
  2. (x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

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The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

  • 2x -3y = -9
  • 5x +2y = 25

Then the solution is ...

  x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)

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2. In standard form, your equations are ...

  • 3x +2y = 7
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Then the solution is ...

  x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)

_____

<em>Note on Cramer's Rule</em>

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.

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3 years ago
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Nitella [24]

The cost per unit of the auto shop function is the slope of the function

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\mathbf{C(t) = 87t + 32}

A linear function is represented as:

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m represents the slope or the unit rate.

So, by comparison:

\mathbf{m = 87}

This means that 87 represents the slope and the cost per tire purchased

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brainly.com/question/18576224

6 0
2 years ago
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MAXImum [283]

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I think it is the answer so that might be
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