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dedylja [7]
3 years ago
6

Solve.

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

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Answer:

  (x, y) = (-3, -13) or (-8, -23)

Step-by-step explanation:

The values for y can be equated and the resulting quadratic solved by factoring.

  2x -7 = x^2 +13x +17

  0 = x^2 +11x +24 . . . . . . subtract 2x-7

  0 = (x +8)(x +3) . . . . . . . .factor*

The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...

  y = 2(-8) -7 = -23

  y = 2(-3) -7 = -13

The solutions are ...

  (x, y) = (-8, -23) and (-3, -13)

_____

* The constants in the binomial factors are factors of 24 that total 11. You know that ...

  24 = 1×24 = 2×12 = 3×8 = 4×6

The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.

"24" is the constant in the quadratic. "11" is the coefficient of the x term.

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3 years ago
How many ways can you get the sum of 2 or 5 on a roll of two dice?
cestrela7 [59]

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1/6 becuase there are 6 sides on a dice

8 0
2 years ago
In a direct variation, y = 12 when x = 3. Write a direct variation equation
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Step-by-step explanation:

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2 years ago
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You spent $215.41 in total.
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2 years ago
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Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it
uranmaximum [27]
<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is \frac {5}{8}   its length

Let ,the length of the living room is = x ft

Then width =\frac {5}{8}x ft

Therefore the area of the living room =x \times \frac {5}{8}x ft^2

According to problem,

x\times \frac {5}{8}x = 360

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⇔x=\sqrt{576}

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