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3 years ago

Examine the system of equations.

Mathematics

2 answers:

Grace [21]3 years ago

6 0

Answer:

(x, y) = (-7, 7)

Step-by-step explanation:

y= 7

-3 - 2x = 7

Substitute the given value of y into the equation

- 3x - 2 x 7 = 7

Solve for the equation for x

x = -7

The possible solution of the system is the ordered pair (x, y)

(x, y) = ( -7, 7)

Check if the given ordered pair is the solution of the system of equations

7= -3x (-7) - 2 x 7 = 7

= 7 = 7 = 7

andre [41]3 years ago

3 0

Answer:

x = -3

(-3,7)

Step-by-step explanation:

y = –3x – 2,

y = 7

We know the value of y, y=7

Substitute into the first equation

7 = –3x – 2

Add 2 to each side

7+2 = –3x – 2+2

9 = -3x

Divide each side by -3

9/-3 = -3x/-3

-3 = x

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Consider the expression 25 – 10 ÷ 2 + 3.

Tems11 [23]

Given:

The expression is:

$25-10\div 2+3$

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

$(25-10)\div 2+3=15\div 2+3$

$(25-10)\div 2+3=7.5+3$ [Using BODMAS]

$(25-10)\div 2+3=10.5$

In option B,

$25-10\div (2+3)=25-10\div 5$

$25-10\div (2+3)=25-2$ [Using BODMAS]

$25-10\div (2+3)=23$

In option C,

$(25-10)\div (2+3)=15\div 5$

$(25-10)\div (2+3)=3$

In option D,

$25-(10\div 2)+3=25-5+3$

$25-(10\div 2)+3=28-5$ [Using BODMAS]

$25-(10\div 2)+3=23$

After the calculation, we have $25-10\div (2+3)=23$ and $25-(10\div 2)+3=23$ .

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

$(25-10)\div (2+3)=3$

Therefore, the correct option is C.

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In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups

Arisa [49]

4 tables = 1 group. So in 10 groups of tables, there are 40 tables. Each table seats 8 students, so you multiply 8 by 40, and that leaves your answer as 320 students. :)

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Mamont248 [21]

4(8x-2)
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Hope it helps

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pickupchik [31]

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There are 5 green marbles, 4 red marbles, and 3 yellow marbles , determine the probability that two green marbles are chosen

frez [133]

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