What is the solution of the system of equations shown below? y = –x + 3
y = 4x – 2

A. (0, 3)
B. (1, 2)
C. (2, 1)
D. (0, −2)

Answers

Answer 1
Answer:

Answer:

B. (1,2)

Step-by-step explanation:

y = –x + 3.......(1)

y = 4x – 2.......(2)

Putting (1) into (2)

-x + 3 = 4x - 2

4x + x = 3 + 2

5x = 5

x = 5/5

x = 1

And putting x = 1 in (1)

y = -x + 3

y = -1 + 3

y = 2

Answer 2
Answer:

Answer:

B. (1, 2)

Step-by-step explanation:

YEP!! YOUR ANSWER IS B (1, 2)

Putting (1) into (2)

-x + 3 = 4x - 24x + x = 3 + 2

5x = 5

x = 5/5

x = 1

And putting x = 1 in (1)

y = -x + 3

y = -1 + 3

y = 2


Related Questions

A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. The area of the circular region is given by the function A(r) = πr2, where r is the radius of the circle at time t.Explain how to write a composite function to find the area of the region at time t.
How do you solve the equation 2s+3=14s
Can someone please help me solve the this?
A window is 21 inches wide, and its perimeter is 112 inches. What is the length of the window?
a rectanguler prism is 7 meters wide,8 meters tall,and 39.5 meters long. what is the volume of the container?

What is the equation of the line that passes through the point 4,4 and has a slope of 0?

Answers

The equation of a line that passes through a point is an algebraic equation. It can also be referred to as the Slope-Intercept Equation.

The equation of the line that passes through the point (4, 4) and has a slope of 0 is written as: y = 4

The equation of the line through a point (x1, y1) can be represented by the algebraic equation:

y = mx + c

where:

m = slope

c = y - intercept

From the question,

(x1, y1) = (4, 4)

m = slope = 0

Substituting these values into the algebraic equation,

4 = (0 x 4) + c

 

Hence, y = 4

The equation of the line that passes through the point (4, 4) and has a slope of zero is y = 4

To learn more, visit the link below:

brainly.com/question/14045393

Answer:

y = 0x + 4 or y = 4.

Step-by-step explanation:

The slope is zero, and in other words, m = 0.

The slope intercept form is y = mx + b.

Replace m with 0.

y = 0m + b.

The y intercept is the y point on the line. Since this slope is a straight horizontal line, the y point given is the y intercept. b is the y intercept.

y = 0m + 4

Since any number times 0 is 0 you can right it as

y = 4.

PLEASE HELP!!Your mother has a new cell phone. It comes with 18 applications already installed. She only uses 2/3 of those applications. She downloaded an additional 12 applications that she uses regularly. Write an equation to represent the total number of applications your mom uses. Explain equation and your reasoning.

Answers

She only uses 12 of the applications. Then she downloads another 12 making it 24. Here is the equation: 2/3 = 12/18 (+12 = 24).

Answer:

She only uses 12 of the applications. Then she downloads another 12 making it 24. Here is the equation: 2/3 = 12/18 (+12 = 24).

Step-by-step explanation:

In 1 hour how many more times does a rabbits heart beat than a dogs rabbits heart beat per 1 minute 212 dogs heart beat per 1 minute

Answers

Answer: In  1 hour, 12720 more times rabbit's heart beat than a dog's rabbits heart beat

Step-by-step explanation:

Since we have given that

Rabbit's heart beat in 1 min 212 times more than dog's heart beat in 1 min.

So, in 1 hour , we get,

1\text{ hour }= 60\text{ minutes}\nso, heartbeat = 212* 60=12720

So, in  1 hour, 12720 more times rabbit's heart beat than a dog's rabbits heart beat .

How can absolute value help you to understand the size of a quantity

Answers

The absolute value is the size of the quantity regardless the sign and direction. This is, it tells the magnitude.

A quantity may be a scalar or a vector.

Some scalar quantitiies are mass, density, temperature, distance, number of cars. Some scalar quantities only have size (magnitude) but other also have sign, i.e. may be either positive or negative.

Scalar quantities that only have magnitude are like mass, density, or number of cars. For example, 20 grams, 1 g/cm³, and 12 cars, tell all the information about the quantities of mass, density, and cars. In theses examples the absolute value is the quantity: it tells the size of the quantity.

A good example of scalar with sign is temperature. For example, temperature in a hot day may be 30°C, and temperature in a cold day may be - 8°C. You need to include the negative sign to indicate the whole range of temperatures. But the absolute value of the temperature is the magnitude without the sign. The absolute value of 30°C is 30 and the absolute value of - 8°C is 8. Then, the absolute value tells the magnitude or size of the measurement, regardless the sign.

Some examples of vectors are position, velocity and force. To indicate positiion, velocity and force, you need to include the magnitudeand the direction. For example, 30 m at 30° North of the East is a position, 100 km/h East is a velocity, and 2000 newtons 20° above the horizontal line is a force. Yet the absolute value tells you just the magnitude or size of vector quantities. The absolute value tells the magnitude or size of the quantity regardless the direction: 30m, 100km/h, and 2000 newtons are the absolute values of those quantities; they tell you the size of the measurement but not the direction.

Then, the absolute value is always the size of the quantity regardless the sign and direction.

The absolute value is indicated by enclosing the variable inside two bars: | x | is read absolute value of x and is always positive.

Absolute value tells you the distance a number is from zero on a number line.

For example, |-10| = 10. This means that the absolute value, or distance from zero, is 10.

A lawn is in the shape of a trapezoid has an area of 1833 square meters. The length of one base is 52 meters and the length of the other base is 42 meters. What is the height of the trapezoid?

Answers

draw a trapezoid and count the total lengths you have to get the answer

Answer:

Im looking for this answer thoughhh

Step-by-step explanation:

Travis is building a rectangular sandbox for his younger brother. The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet.

Answers

let's say the width is x
we know that the length is 2x+1 (1 foot longer than twice the width)
the perimeter is all sides added up so that's x+x+2x+1+2x+1 which is simplified to 6x+2
we also know that the perimeter is 29, so 6x+2=29
take 2 from both sides to get 6x=27
divide both sides by 6 to get 4.5 therefore the width is 4.5
from this we know that the length is 2(4.5)+1 since x is 4.5
now we know the length is 10.
if you want the area it is 4.5 times 10 which is 45feet^2