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k0ka [10]
3 years ago
13

Solve system of equations: 4l + 8m = 40 5l + 2m = 28 Please show steps!

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
Answer:

l = 9/2 or 4.5

m = 11/4 or 2.75

Step-by-step explanation:

4l + 8m = 40

8m = 40 - 4I

m = 5 - 0.5l

5l + 2m = 28

5l + 2(5 - 0.5l) = 28

5l + (10 - l) = 28

4l + 10 = 28

4l = 18

l = 18/4 or 9/2

l = 4.5

4l + 8m = 40

4(4.5) + 8m = 40

18 + 8m = 40

8m + 18 = 40

8m = 22

m = 22/8

m = 2.75

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42

Step-by-step explanation:

Divide 14/2 *6 to get your ratio.

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3(x - 5) – 3 = 5(x - 2) + 2x
Arlecino [84]

Answer:

x=−2

Step-by-step explanation:       Step 1: Simplify both sides of the equation.

3(x−5)−3=5(x−2)+2x

(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)

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Step 2: Subtract 7x from both sides.

3x−18−7x=7x−10−7x

−4x−18=−10

Step 3: Add 18 to both sides.

−4x−18+18=−10+18

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Step 4: Divide both sides by -4.

−4x

−4

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8

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6 0
3 years ago
3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 +
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Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

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B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

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