All categories

3 years ago

2x - 3y = 13 x + 2y = -4

Mathematics

1 answer:

-Dominant- [34]3 years ago

6 0

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 13 → (1)

x + 2y = - 4 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 4 - 2y → (3)

Substitute x = - 4 - 2y into (1)

2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side

- 8 - 4y - 3y = 13

- 8 - 7y = 13 ( add 8 to both sides )

- 7y = 21 ( divide both sides by - 7 )

y = - 3

Substitute y = - 3 into (3) for corresponding value of x

x = - 4 - 2(- 3) = - 4 + 6 = 2

Solution is (2, - 3 )

You might be interested in

Some friends played a board game. During the game, one unlucky player had to move back 8 spaces

podryga [215]

Yes 4+*2 34^%7 shehshshs

6 0

2 years ago

How do I solve this

Kitty [74]

Hello,

$x^2-2x-27=-5x+1\\

x^2-2x+5x-27-1=0\\

x^2+3x-28=0\\

x^2+7x-4x-28=0\\

x(x+7)-4(x+7)=0\\

(x+7)(x-4)=0\\

x=-7\ or\ x=4\\
$

8 0

3 years ago

Read 2 more answers

-2 3/4 ÷ -1/7= <br>help

Hitman42 [59]

The answer is 19 $\frac{1}{4}$

First you must set up the equation

$-2\frac{3}{4}$ ÷ $-\frac{1}{7}$

First, you must make the mixed number a improper fraction

$-\frac{11}{4}$ ÷ $-\frac{1}{7}$

Then you must divide

$\frac{77}{4}$

Finally, simplify

19 $\frac{1}{4}$

3 0

3 years ago

Graph the function and find the range

kramer

The answer for the graph would be C. While x is less than or equal to 0, there is the graph of -4x. While x is greater than x, there is the graph of -5 (horizontal line). Furthermore, the closed dot at the end of the -4x represents the less than or EQUAL TO. The dot at the end of the -5 is open because it is only true when x > 0.

The range (y-values where the graph exists) is [-5]∪[0, infinity)

6 0

3 years ago

In a retail setting, payroll is often based on projected sales. If your payroll budget is 6% of projected sales of $3500.00 and

Bad White [126]

The maximum number of hours that can be allocated in a day is 21

Data given;

Sale = $3500
Employee pay = $10.00 per hour
Percentage allocated to employee = 6% of sales

<h3>Percentage</h3>

This is the process of finding a fraction of a value multiplied by 100.

Let's find the actual figure allocated to employee pay.

6% of $3500 is;

$6/100 = x/ 3500\\x = 0.06*3500\\x = 210$

The percentage out of sale allocated for employee pay is $210

Now we know the actual amount allocated to employee pay and it is $210.

Divide the amount allocated to employee pay by $10:00 to find the actual hours we can allocate in a day.

$y = 210/10 = 21$

The maximum number of hours we can allocate in a day is 21 hours.

Learn more on percentage here;

brainly.com/question/843074

6 0

2 years ago