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Alik [6]
3 years ago
6

What is the solution to the system of equations?

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer:

(8 - 12 )

Step-by-step explanation:

Given

\frac{1}{4} x - \frac{1}{2} y = 8

\frac{1}{2} x + \frac{3}{4} y = - 5

Multiply both equations through by 4 to clear the fractions

x - 2y = 32 → (1)

2x + 3y = - 20 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 2x + 4y = - 64 → (3)

Add (2) and (3) term by term to eliminate x

0 + 7y = - 84

7y = - 84 ( divide both sides by 7 )

y = - 12

Substitute y = - 12 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(- 12) = 32

x + 24 = 32 ( subtract 24 from both sides )

x = 8

solution is (8, - 12 )

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The student council needs to raise at least $950 to pay for their trip to Washington, DC. They have raised $589.55
podryga [215]

Answer:

181 bagels

Step-by-step explanation:

Well how much money did they have to raise more to get to $950? It is $360.45. So now we take $360.45 and divide it by 2 and we get 180.225. But if we round 180.225 they would have to sell at least 181 bagels to raise $950 dollars.

3 0
3 years ago
Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
mixas84 [53]

Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: Cost of a t-shirt.
  • Variable y: Cost of a notebook.

Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:

  • 3x + 2y = 19.
  • x + y = 8 -> y = (8 - x).

Hence, replacing the second equation into the first:

3x + 2(8 - x) = 19

x = 3.

y = 8 - x = 8 - 3 = 5.

The cost of a t-shirt is of $3 and the cost of a notebook is of $5.

More can be learned about a system of equations at brainly.com/question/24342899

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7 0
2 years ago
Solve for x. See attachment.....
N76 [4]
64=-4+4x
64+4=4x
68=4x
68/4=x
17=x
8 0
3 years ago
6. Consider the A = LR factorization of the matrix A: A =   1 0 0 1 1 0 0 1 1     0 3 2 3 4 0 0 0 2 4 0 0 0 0 0   withou
Natali [406]

Answer:

Please see attachments for step by step guide and answers.

8 0
3 years ago
What is equilibrium if autonomous expenditures are $2,000 and the mpe is 0. 5?
STALIN [3.7K]

The equilibrium level if autonomous expenditures are $2,000 and the mpe is 0. 5 is $4000.

<h3>How to calculate the equilibrium?</h3>

From the information given, the autonomous expenditures are $2,000 and the mpe is 0. 5.

Here, the equilibrium level will be:

= 2000/(1 - 0.5)

= 2000/0.5

= 4000

In conclusion, the correct option is $4000.

Learn more about expenditure on:

brainly.com/question/935872

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3 0
2 years ago
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