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2 years ago

Solve the following systems of equations without graphing 5x + 10y = 30 -5x +15y = 20

Mathematics

1 answer:

galben [10]2 years ago

8 0

Answer:

(2, 2)

Step-by-step explanation:

In this case, elimination would be the most efficient means of solving.

Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\

5x + 10y = 30

-5x + 15y = 20

(x's cancel) 25y = 50

25y = 50

y = 2

5x + 10(2) = 30

5x + 20 = 30

5x = 10

x = 2

The solution to this equation is (2, 2)

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If triangle CDE is dilated by a scale factor of 1/5 with a center of dilation at vertex E, what is the area of triangle C'D'E'?

timurjin [86]

The correct answer would be Choice B: 4 square units.

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The area of the triangle is: (4 x 2) / 2 = 4

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3 years ago

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Maureen went on a 3 day 50 mile trip. the first day she biked 17 7/8 miles . the second day she biked 18 5/7 miles. How many mil

Inessa [10]

To find the miles for 3rd day, we take away the miles she biked for the first two day from the total.

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$=50 - 17 \dfrac{7 \times 7}{8 \times 7} - 18\dfrac{5 \times 8}{7 \times 8}$

$= 48 \dfrac{112}{56} - 17 \dfrac{49}{56} - 18\dfrac{40}{56}$

$= 13 \dfrac{23}{56} \text { miles }$

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Answer: She traveled 13 23/56 miles on the third day.
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7 0

3 years ago

Help me in both please it’s a test and i need help

nataly862011 [7]

1. -2x + 3y + 5

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2. -$40 + 100 = $60 - $50 = $10

Cindy currently has $10 left in her bank account.

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2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%201%7D%7B2x%20-%201%7D%20%20-%20%20%5Cfrac%7Bx%20-%201%7D%7B2x%20%2B%201%

lubasha [3.4K]

x=0

because you must

determine the undefined range

write all numerators above the common denomonator

multiply the parenthesis

collect the alike terms

remove parenthesis

eliminate the opposites collect the like terms

set the numerator equal to 0

divide both sides by 6

check if thesolution is the defined range

if so then you would find your answer X=0

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2 years ago

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djverab [1.8K]

Answer:

p=30 q=150

Step-by-step explanation:

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2 years ago

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