Use the subsitution method to solve the system of equations. 2x+3y=12. Y=x-1

Answers

Answer 1

Answer:

x = 3, and y = 2

Step-by-step explanation:

2x + 3y = 12 -------- (1)

y = x - 1 ---------------(2)

Substitute value of Y in (2) in (1)

2x + 3(x-1) = 12

2x + 3x - 3 = 12

5x - 3 = 12

5x = 12 + 3

5x = 15

x = 15/5

x = 3

Put the value of x in equation 2

y = x-1

y = 3 - 1

y = 2

Therefore, x = 3, and y = 2

Hope u understand

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Related Questions

at a market 8 mangoes and 6 pears cost $25.00 and 4 mangoes and 8 pears cost$30.00. what is the cost of one mangoes

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Answer:

the answer is 4.00 Yw for the help

Please help me find the answer

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Answer:

the area of the trapezoid is 6.25

Answer:

7

Step-by-step explanation:

so 2*2.5=4.5

and then 2.5*1=2.5/2=1.25

then 1.25+1.25+4.5=7

What is the solution to the system of equations graphed below?

y=-4x + 33
y= 5x-1
PLS HELP ITS FOR MY FINAL!!!!

Answers

Step-by-step explanation:

(Y, X)

Y=9

X=6

ACCORDING TO MY SOLUTION AND THE GRAPHIC IN THIS PHOTO THE SOLUTION IS

(9,6)

I need help with question please help me it’s due today

Answers

Answer:

A.) 4 x (y + 7)

Step-by-step explanation:

4 times means that you are going to be multiplying something by 4. It says 4 times the sum of y and 7. This means that you are going to multiply whatever y and 7 equal by 4. Sum means addition. So that's going to be that you are multiplying what the combined total of y and 7 is by 4.

I hope this helped :)

What will be the multipicative inverse of -1/4??

Answers

Answer:

-4.

Step-by-step explanation:

Let x be the multiplicative inverse, then:

-1/4 * x = 1

x = 1 / (-1/4)

= 1 * -4

= -4.

Answer:

-4

Step-by-step explanation:

Find the slope of the line

Answers

Answer:

-4/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-1) / 0 - (-6)

-4/3

What is the slope of the line that passes through the points (7,-6) and (4, -6)?
Write your answer in simplest form.

Answers

Slope = 0

Hope this helps

help pleaseeeeeee !!!

Answers

Answer:

Step-by-step explanation:

6 is the maximum value

so the inequality is

x ≤ 6

Answer:

Part A:

The inequality would be less than or equal to, since the temperature isn't greater than 6, but the phrase doesn't get rid of the possibility that it could be less than 6. Hope that makes sense!

Also, the inequality sign would be: ≤

Part B:

For the graph, you woulld plot a closed circle on the 6, with an arrow heading left.

Hope this helps!

A video streaming company offers two monthly plans. Plan A: $3 per video viewed, plus a flat rate of $8 per month Plan B: $5 per video viewed and no additional flat rate Write an inequality to determine when the cost of viewing n videos using Plan A is less than the cost of viewing n videos using Plan B. Inequality: 3n + 8 [ Select ] 5n Plan A is less expensive when [ Select ] .

Answers

Answer:

3n + 8 < 5n

n > 4

Step-by-step explanation:

Let

n = cost of viewing videos

Plan A: $3 per video viewed, plus a flat rate of $8 per month

Total cost for plan A = 3n + 8

Plan B: $5 per video viewed and no additional flat rate

Total cost for plan B = 5n

Plan A is less than the cost of viewing n videos using Plan B

The inequality

3n + 8 < 5n

8 < 5n - 3n

8 < 2n

8/2 < n

4 < n

n > 4

5 ( -x) + 7 = 2x+4 graph it

a. x = 25/16
b. x = 7/4
c. x = 27/16
d. x = 13/8

Answers

Answer:

x = 25/25 x = 7/4x = 27/27x = 13/13

help lol
3 1/3 + (-2 1/4) + 1 5/6 =

Answers

Answer:

7.58

Step-by-step explanation:

Solve V= lwh for w
PLEASE HELP I WILL GIVE BRAINLY

Answers

Answer:

The answer is w=lhv

solution

v=lwh

v\w=lh

w=lhv

pls pls help i will vote you brainlest!!!

What is the graph of the following function? Click on the graph until the correct one appears.

Answers

the last graph because it shows you why the following function appears

Jennifer hit a golf ball from the ground and it followed the projectile ℎ(t)= −15t^2+100t, where t is the time in seconds, and ℎ is the height of the ball.

a. Find the highest point that her golf ball reached algebraically.

b. How many seconds will the ball reach the maximum height?

c. Find a reasonable domain and range for this situation.

Answers

Answer:

Step-by-step explanation:

In order to find the max height the ball reached, we have to complete the square on that quadratic. That will also, conveniently so, give us the number of seconds it will take the ball to reach that max height, that answer to part b. Let's begin to complete the square. Normally, you would move the constant over to the other side of the equals sign, but there is no constant here. The next step is to get the leading coefficient to be a 1, and ours right now is a -15. So we have to factor it out. Here's where we start the process of completing the square.

[tex]-15(t^2-\frac{20}{3}t)=0[/tex] Next step is to take half the linear term, square it, and add it to both sides. Our linear term is 20/3. Half of 20/3 is 20/6, and 20/6 squared is 400/36.

[tex]-15(t^2-\frac{20}{3}t+\frac{400}{36})=0+???[/tex] Because this is an equation, what we add to the left side also has to be added to the right. BUT we didn't just add in 400/36, because we have that -15 out front as a multiplier that refuses to be ignored. What we actually added in was -15(400/36):

[tex]-15(t^2-\frac{20}{3}t+\frac{400}{36})=0-\frac{500}{3}[/tex]

The reason we do this is to create a perfect square binomial on the left which will serve as the number of seconds, h, in the vertex (h, k), where h is the number of seconds it takes the ball to reach its max height, k. Simplifying both sides then gives us:

[tex]-15(t-\frac{20}{6})^2=-\frac{500}{3}[/tex] Finally, we will move the right side over by the left and set the quadratic back equal to h(t):

[tex]h(t)=-15(t^2-\frac{20}{3})^2+\frac{500}{3}[/tex] and from that you can determine that the vertex is [tex](\frac{20}{3},\frac{500}{3})[/tex].

The answer to a. is vound in the second number of our vertex: k, the max height. The max of the golf ball was 500/3 feet or 166 2/3 feet.

Part b is found in the first number of the vertex: h, the number of seconds it took the golf ball to reach that max height. The time it took was 3 1/3 seconds.

Part c. is to state the domain (the time) and the range (the height) of the ball.

Domain is

D: {x | 0 ≤ x ≤ 3 1/3} and

Range is

R: {y | 0 ≤ y ≤ 166 2/3}

Please help me I don’t understand it’s number 2
2. Select all the pairs that are
equivalent.

Answers

answers 3 and 4! since there is a negative power, that’s the only time the 0’s are added to the front :)

In this diagram, line dcuts three lines to form the angles shown.

Which two lines are parallel?

a and b

a and c

b and c

No lines are parallel

Answers

Answer:

No lines are parallel, hope this helped!!!

The angle formed by intersections are not the same thus non of the line will parallel so option (D) is correct.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

As per the given line and intersecting line.

Line d is making some angles with lines a,b, and c.

If any of the two lines amount a,b and c would parallel then the angle would be the same.

Since none of the angles is the same thus none of the given lines will be parallel.

Hence "Since intersections do not form an identical angle, no line will be parallel".

To learn more about parallel lines;

https://brainly.com/question/16701300

#SPJ2

A college student has a new job, and must balance classes and commute times to work. The student takes two weeks to drive from campus to the workplace by several routes, including a direct route through town, a highway route, and a route through a city park. Comparing the drive times, affected by the route, speed limits and intersections is possible. The dependent variable is the Group of answer choices

Answers

Answer: average time in minutes that it will take to drive from campus to workplace

Step-by-step explanation:

The dependent variable refers to the variable that the researcher is testing or measuring in an experiment. Let's say for example, we want to know the impact of reading on the examination score of a student. In this case, the dependent variable will be the examination score of the student since that's what we're measuring.

With regards to the question, the dependent variable is average time in minutes that it will take to drive from campus to workplace.

A shopkeeper has 4 kg of sweets. He has small bags that hold 50 g of sweets each. How many 50 g bags can he fill? ​

Answers

80 bags of 50gs each

y = 98 -4.4x x = 9, y =​

Answers

Answer:

y = 58.4 when x = 9

Step-by-step explanation:

Here y = 98 - 4.4x, and x = 9.  We are to find the value of y.

Substituting 9 for x, we get:

          y = 98 - 4.4(9), or

          y = 98 - 39.6, or

           y = 58.4

y = 58.4 when x = 9

Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y

Answers

The answer to the question is a bc 28 - 16 is 12

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

which equation represents a line which is parallel to the y axis?

Answers

Answer:

x = -6

Step-by-step explanation:

I could use some help please! please

Answers

Answer:

The integers could be 21 and 22

or -22 and -21

Step-by-step explanation:

If two integers are consecutive, then it means that their difference is just 1

if we have the initial value as x , then the other value could be x-1 or x + 1

let us go with x-1

So the product here is;

x(x-1) = 462

x^2-x = 462

x^2 -x -462 = 0

x^2 -22x + 21x - 462 = 0

x(x-22) + 21(x-22) = 0

(x + 21)(x-22) = 0

x = -21 or x = 22

If x = -21

x -1 = -21-1 = -22

if x = 22

x -1 = 22-1 = 21

Which of the following is impossible to draw?
-A triangle with with three 120° exterior angles
-A triangle with three acute interior angles
-None of the answers listed here are correct
-A quadrilateral with four interior acute angles

Answers

Answer: A quadrilateral with four interior acute angles

Step-by-step explanation:

If you add four angles for quadrilateral = 360 & acute angle is less than 90 degrees so it isn't possible.

4g^2 - 32g = 0 into polynomial? PLEASE ANSWER THIS QUICKLY IM BEGGING

Answers

Answer:

g = 8

Step-by-step explanation:

32 g = 4 g squared if you move it over, so divide both sides by 1 g and you get 4g = 32, so g = 8

Answer:

g is 8

Step-by-step explanation:

A circular flower bed is 23 m in diameter and has a circular sidewalk around it that is 4 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.

Answers

Answer:

Step-by-step explanation:

Think of this as a circle in a larger circle, and the area thats only taken by one circle is the area of the path.

One Circle has area 11.5, while the other has a area of 15.5

The area of the smaller circle is 11.5^2*pi or 132.25pi

The area of the larger circle is 15.5^2*pi or 240.25pi

The area of the path is 108pi or 339.12

Hudson currently makes $18 per hour after taxes. He works 35 hours per week.
If Hudson works 52 weeks out of the year, how much money will he earn during
that time?

Answers

it's easy

18×35 to know how much in a week it will give you 630 after we know how much in a week we will do the same to know in a year 630×52=32760

i will give you brainliest if you help me with this

Answers

Answer:

a.0.25

b.15/100=3/20

c.17*100/40=1700/40=42.5%

Two trucks leave a warehouse at the same​ time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by miles per hour. After ​hours, they are miles apart. What are the rates of the​ trucks? Use the table below to organize your work

Answers

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour

https://brainly.com/question/23910386 go here and make it blow up share this to and who ever dose it gets brainlest so you have to say thanks and give me 5 stars and u have to comment so i know u did it

Answers

Answer:

lol ok

have a good day :)

Step-by-step explanation:

What is the measure of x? I'm not sure if its c. Please help!

Answers

Answer:

[tex]\text{(C) }110^{\circ}[/tex]

Step-by-step explanation:

The angle marked [tex]110^{\circ}[/tex] and the angle marked by [tex]x[/tex] are vertical angles (on opposite sides of the intersection of two lines). All vertical angles are equal, therefore [tex]x=\boxed{\text{(C) }110^{\circ}}[/tex].

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