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3 years ago

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let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve

the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.

1 answer:

kiruha [24]3 years ago

7 0

9514 1404 393

Answer:

(x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

3x -y = 22

x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

2(3x -y) +(x +2y) = 2(22) +(12)

7x = 56

x = 8

Substituting into the first equation gives ...

3(8) -y = 22

y = 24 -22 = 2

The first number is 8; the second number is 2.

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Whitepunk [10]

Answer:

$x=\frac{5}{4}$

Step-by-step explanation:

$2x+\frac{5}{8}=3x-\frac{5}{8}$

Subtract 5/8 from both sides:-

$2x+\frac{5}{8}-\frac{5}{8}=3x-\frac{5}{8}-\frac{5}{8}$

$2x+\frac{5}{8}-\frac{5}{8}$

Add like terms:-

$\frac{5}{8}-\frac{5}{8}=0$

$=2x$

$3x-\frac{5}{8}-\frac{5}{8}$

Rule:- $\frac{a}{c} \pm \frac{b}{c}=\frac{a \pm b}{c}$

$\frac{-5-5}{8}$

Subtract, $-5-5=-10$

$=\frac{-10}{8}$

Cancel common factor: 2

$=-\frac{5}{4}$

$=3x-\frac{5}{4}$

---------------

$2x=3x-\frac{5}{4}$

Now, subtract 3x from both sides:-

$2x-3x=3x-\frac{5}{4}-3x$

$-x=-\frac{5}{4}$

Divide both sides by -1:-

$\frac{-x}{-1}=\frac{-\frac{5}{4}}{-1}$

$x=\frac{5}{4}$

<u>OAmalOHopeO</u>

4 0

2 years ago

Read 2 more answers

Slope and y intercept

morpeh [17]

Answer:

$y=\frac{25}{1}x+75$

The beginning balance of Sophie's account is 75

Step-by-step explanation:

Using the slope intercept form aka $y=mx+b$

The slope of a line describes how steep a line is.

We can see that the y-axis goes up by 25.

25, 50, 75, 100, 125, 150 etc

<u>$ is how much you have in your bank account.</u>

<em>We can see that Sophie starts off with 75 dollars.</em>

In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.

<h3>how to find the slope</h3>

$slope formula\\m=\frac{rise(y)}{run(x)}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

The first week (1, 100)

The second week (2,125)

$(x_{1}, y_{1})= 1, 100\\(x_{2}, y_{2})= 2, 125\\m=\frac{125-100}{2-1}=\frac{25}{1} \\Up 25 (aka, 1 line), over 1(aka 2 lines)$

<em></em>

7 0

3 years ago

NEED HELP GUYS :( !!

umka2103 [35]

Answer:i cant see the situation

Step-by-step explanation:

6 0

3 years ago

It is 1:45 25min later what time is it

marusya05 [52]

Answer:

The answer is 2:10

Step-by-step explanation:

60 mins in an hour. 1:45+25 is 1:70, turn that into ours and you get 2:10.

3 0

3 years ago

Read 2 more answers

SHOW YOUR FORMULA AND SOLUTION

spayn [35]

Answer:

2500 kg

Step-by-step explanation:

Given:

• Force produced by the truck = F = 15,000 Newtons Acceleration of the truck = a = 6 m/s²

To find:

Mass of the truck if force is 15000 newtons and acceleration is 6 m/s²

Formula:

Force = Mass Acceleration

Substituting the above values:

15000N Mass×6

Mass = 15,000/6

Mass = 2500 kg

7 0

1 year ago