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2 years ago

What is the solution to the system of equations 6x+2y=6 7x+3y=5

Mathematics

1 answer:

brilliants [131]2 years ago

8 0

Answer:

(x,y)=(2,-3)

Step-by-step explanation:

6x+2y=6

7x+3y=5

Multiply both sides by 3

18x+6y=18

7x+3y=5

Multiply both sides by -2

18x+6y=18

-14x-6y=-10

Eliminate one variable by adding the equations

4x=8

x=2

Substitute the value of x to get y

6(2)+2y=6

y=-3

x=2

y=-3

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Today only, a desk is being sold at a 33% discount. The sale price is $268. What was the price yesterday?

Serga [27]

Discount percent = 33%

Sale price = $268

Let the original price be $x.

So,

$x - (33\% \: of \: x) = 268 \\ = > x - ( \frac{33}{100} \times x) = 268 \\ = > x - ( \frac{33x}{100}) = 268 \\ = > \frac{100x}{100} - \frac{33x}{100} = 268 \\ = > \frac{(100x - 33x)}{100} = 268 \\ = > \frac{67x}{100} = 268 \\ = > 67x = 268 \times 100 \\ = > 67x = 26800 \\ = > x = \frac{26800}{67} \\ = > x = 400$

So, yesterday the price was $400.

5 0

2 years ago

which expression simplifies to 41? choose all that apply! question 14 options: 10 2³ ∙ 4 - 1 10 2³ ∙ (4 - 1) (10 2³) ∙ 4 - 1 10

nordsb [41]

The expressions that simplifies to 41 are:

a) 10 + 2³ * 4 - 1

d) 10 + (2³ * 4) - 1

Information about the problem:

a) 10 + 2³ * 4 - 1

b) 10 + 2³ * (4 - 1)

c) (10 + 2³) * 4 - 1

d) 10 + (2³ * 4) - 1

We solve the equations respecting the level of hierarchy:

First the operations in parentheses, then brackets and finally braces.
Of the arithmetic operations, first the multiplication and divisions and then the additions and subtractions.

a) 10 + 2³ * 4 - 1

10 + 8*4 - 1

10 + 32 - 1

42 - 1

41 (it applies)

b) 10 + 2³ * (4 - 1)

10 + 8 * (3)

10 + 24

34 (it doesn't applies)

c) (10 + 2³) * 4 - 1

(10 + 8) * 4 - 1

18*4 - 1

72 - 1

71 (it doesn't applies)

d) 10 + (2³ * 4) - 1

10 + (8*4) - 1

10 + 32 -1

42 - 1

41 (it applies)

<h3>What are algebraic operations?</h3>

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

Learn more about algebraic operations at: brainly.com/question/3927786

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