All categories

3 years ago

Solve the following system by elimination 2x-y=9 and 3x+4y=-14

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

2x - y = 9

3x + 4y = -14

To solve this system using elimination, one of the pairs of variable terms must cancel each other out. Their coefficients must be opposites of each other.

Multiply the top equation by 4.

2x - y = 9

4(2x - y = 9)

8x - 4y = 36

Add the equations together.

8x - 4y = 36

3x + 4y = -14

+___________

11x - 0 = 22

11x = 22

x = 2

Substitute 2 for x into either of the original equations to find y.

2x - y = 9

2(2) - y = 9

4 - y = 9

-y = 5

y = -5

Finally, check work by plugging x- and y-values into each original equation.

2(2) - (-5) = 9 --> 4 + 5 = 9 --> 9 = 9 --> True

3(2) + 4(-5) = -14 --> 6 - 20 = -14 --> -14 = -14 --> True

Answer:

x = 2 and y = -5; (2, -5).

You might be interested in

When 118 Is divided by 118 by 11 with one is quotient and remainder

andrezito [222]

Answer:

Step-by-step explanation:

Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or practice your own long division problems and use this calculator to check your answers.Long division with remainders is one of two methods of doing long division by hand. It is somewhat easier than solving a division problem by finding a quotient answer with a decimal.

3 0

4 years ago

Each stew pot can hold 6 liters of stew if there are 5 stew pots how much stew could be made at one time

m_a_m_a [10]

Answer:

Step-by-step explanation:

5p(6L/p)=30L

30 liters can be made with the five pots.

3 0

3 years ago

Read 2 more answers

Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for

Zolol [24]

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

The recipe for the beans soup is as follows as obtained from an online home work document are;

Vegetable Bean Soup that Serves 4 with volume of 0. $\overline 3$ gallons

1.25 cups of honey beans

0.75 cup carrots

1 cup cherry tomato

16 oz. vegetable broth

0.875 cup turnips

0.5 teaspoon salt

$0.\overline 6$ cup potato onions

0.125 teaspoon thyme

1 teaspoon garlic

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

$Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12$

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0. $\mathbf{\overline 3}$ gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × $0.\overline 6$ = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

Learn more here:

brainly.com/question/20364628

brainly.com/question/21464667

3 0

2 years ago

Please help !!! What’s the answer to this??

Aleksandr [31]

Answer:

Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:

2 x 3600 = 7,200 mph

No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.

7 0

2 years ago

10^x • 100^2x = 1000^5. Step by Step

nordsb [41]

Step one: set the base of each term to be the same (10)
(10ˣ)(10²)²ˣ = (10³)⁵
(10ˣ) (10⁴ˣ)= (10¹⁵)
10⁵ˣ = 10¹⁵
Because the indices are the same we can equate the two.
5x = 15
x = 3

Check 10⁵ˣ³ = 10¹⁵ 10¹⁵=10¹⁵

4 0

3 years ago