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Lemur [1.5K]
2 years ago
14

Solve the following system of equations: −2x + y = 1 −4x + y = −1

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
5 0

Answer:

<h2>x = 1, y = 3 → (1, 3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}-2x+y=1\\-4x+y=-1&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=1\\4x-y=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it to the first equation:}\\\\-2(1)+y=1\\-2+y=1\qquad\text{add 2 to both sides}\\y=3

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HELP MEEE!!!!!!!!! PLEASE!
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

b

8 0
2 years ago
6.
Hatshy [7]

Answer:

B. –7x +7y = –49

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  

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5 0
2 years ago
Noah's Café sells special blends of coffee mixtures. Noah wants to create a 20-pound mixture with coffee that sells for $9.20 pe
Mashutka [201]

Answer:

Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds

Step-by-step explanation:

Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.

From the question, we know he wants to make 20 pounds of coffee

Thus;

x + y = 20 •••••••••••(i)

Let’s now work with the values

For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x

For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y

The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6

Thus by adding the two costs together we have a total of $139.6

So we have our second equation;

9.2x + 5.5y = 139.6 •••••••(ii)

From i, y = 20 - x

Let’s substitute this in ii

9.2x + 5.5(20-x) = 139.6

9.2x + 110 -5.5x = 139.6

9.2x -5.5x = 139.6-110

3.7x = 29.6

x = 29.6/3.7

x = 8 pounds

Recall;

y = 20 - x

y = 20-8

y = 12 pounds

7 0
3 years ago
What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6?
Elenna [48]

Answer:

Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.

Lemme know if it worked for you and if you have further questions.

Step-by-step explanation:

3x - 2y = -6

can be rewritten as

2y = 3x + 6

or simpler

y = 1.5x + 3

we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.

y = 1.5x + b

(the letter b is now what we try to solve for)

now let's plug in the x-/y-Informations of the given point

2 = 1.5 * 4 + b

2 = 6 + b

-4 = b

so the new line is

y = 1.5x -4

(the given point lies on that line and it's parallel to the other line)

let's multiply everything by two to get closer to the original format

2y = 3x -8

it could also be expressed as

2y = -(-3x+8)

(in hope that this may help for choosing an answer option)

please clean up the text of questions before posting next time

(would really appreciate the brainliest)

4 0
3 years ago
GEOMETRY PEOPLE HELP MEEEEEEE
Jlenok [28]
The answer to that question is the letter B
5 0
3 years ago
Read 2 more answers
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