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2 years ago

Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x + 2y = 21

2 answers:

max2010maxim [7]2 years ago

6 0

Yes. x=3 and y =9 are the solutions.
Because if you change x=3 and y =9 ,you will have
3+2* 9 =21
3+18 =21
21 =21 (true)

Gekata [30.6K]2 years ago

4 0

Answer:

x + 2y = 21

Step-by-step explanation:

Even other options have not been given in this question, But we will prove that equation that combines to form a system of equations is x + 2y = 21

For this we will prove this equation true for x = 3 and y = 9

x + 2y = 21

3 + 2×9 = 21

3 + 18 = 21

21 = 21

Therefore, equation x + 2y = 21 combines to form a system of equations.

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-79 = 7w + 3(4w – 1)

vladimir1956 [14]

Hello! The answer to your question would be as followed:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-79-(7*w+3*(4*w-1)=0

-79 - (7w + 3 • (4w - 1)) = 0

Pulling out like terms :

Pull out like factors :

-19w - 76 = -19 • (w + 4)

-19 • (w + 4) = 0

Equations which are never true :

Solve : -19 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

Solve : w+4 = 0

Subtract 4 from both sides of the equation :

w = -4

5 0

1 year ago

Read 2 more answers

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew ke

slamgirl [31]

Answer:

Almonds = 400grams

Cashew = 300 grams

Step-by-step explanation:

Let the grams of cashew be represented by = C

the grams of almonds be represented by = A

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel

C + A = 700g ......Equation 1

C = 700 - A

If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg

Let's convert them to grams

1 kg = 1000grams

For almonds

= 288/1000 = 0.288g

For cashew

= 336/1000 = 0.336g

Hence,

0.288 × A + 0.336g × C = ₹216

0.288A + 0.336C = 216

From Equation 1, substitute 700 - A for C in Equation 2

0.288A + 0.336(700 - A) = 216

0.288A + 235.2 - 0.336A = 216

Collect like terms

0.288A - 0.336A = 216 - 235.2

- 0.048A = -19.2

A = -19.2/-0.048

A = 400 grams

Substitute 400g for a in Equation 1

C + A = 700g ......Equation 1

= C + 400g = 700g

C = 700g - 400g

C = 300g

Therefore, the number of grams of Almonds = 400grams

Cashew = 300 grams

6 0

1 year ago

Determine whether each of these sets is the power set of aset,wherea and b are distinct elements. a) ∅ c) {∅,{a},{∅,a}} b) {∅,{a

bija089 [108]

Answer:

{∅, {a}, {b}, {a,b}}

Step-by-step explanation:

The value of power of a set is generalized by using the formula,

Power of a set (P) = 2^n where n is the number of element in the set.

Given two distinct elements a and b say;

A = {a,b}

n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.

P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;

{∅, {a}, {b}, {a,b}} which gives 4 elements in total.

Note that empty set ∅ is always part of the subset of any given set

3 0

2 years ago

Marcie built a scale model of the tallest building in town with an antenna on top. The model stands 6 2/3 centimeters tall. The

marysya [2.9K]

The answer is 1/2...........

7 0

2 years ago

Read 2 more answers

The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greate

aniked [119]

Answer:

x > 36 in

Step-by-step explanation:

Let x = the width of the picture frame.

Then x + 6 = the length of the frame.

The formula for the perimeter P of a rectangle is'

P = 2l + 2w.

So, the condition is

2l + 2w > 156

2(x + 6) + 2x > 156 Distribute the 2

2x + 12 + 2x > 156 Combine like terms

4x + 12 > 156 Subtract 12 from each side

4x > 144 Divide each side by 4

x > 36

The perimeter of the picture frame will be greater than 156 in if x > 36 in.

5 0

2 years ago