Simultaneous Equations
2x+3y=3750, 4x+y=4250

The answer is x=900 and y=650
I just need the steps

Answers

Answer 1

Answer:

It's long but you use Substitution!

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=3750;4x+y=4250

Rewrite equations:

4x+y=4250;2x+3y=3750

Step: Solve 4x+y=4250 for y:

4x+y = 4250

4x+y+−4x = 4250+−4x (Add -4x to both sides)

y = −4x+4250

Step: Substitute −4x+4250 for y in 2x+3y = 3750:

2x+3y=3750

2x+3(−4x+4250)=3750

−10x+12750=3750 (Simplify both sides of the equation)

−10x+12750+−12750=3750+−12750 (Add -12750 to both sides)

−10x =−9000

−10x = −9000 (Divide both sides by -10)

−10          −10

x=900

Step: Substitute 900 for x in y = −4x+4250:

y=−4x+4250

y=(−4)(900)+4250

y=650 (Simplify both sides of the equation)

Answer:

x=900 and y=650


Related Questions

What is the equation of the line that passes through the point (3,2) and has a slope of -2?

Answers

Answer:y=-2x+8

You have to plug it into the equation y-k=m(x-h) where k is the 2 of (3,2) and m is the slope and h is the 3 of (3,2)

Determine x:
X
2
47°

Answers

here is your answer 12°

5. If you receive 24% off of a $100.00 item, what is the final price of the item?
A. $0.24

Answers

Answer:

24% of 100 is 24 meaning you subtract 24 to 100. Giving you $76 as the final price.

Step-by-step explanation:

Raul and Ivan each make a number pattern, as described.
• Raul's pattern: start with 15, add 2
• Ivan's pattern: start with 11, add 3
What number in Raul's pattern and in Ivan's pattern is the same in a pair of corresponding terms?
(A) 17
(b) 21
(C) 23
(D) 26
23
26

Answers

Answer:

Option C. 23

Step-by-step explanation:

To know the correct answer to the question given above, let us determine the sequence of Raul and Ivan. This is illustrated below:

From the question given above,

Raul's pattern: start with 15, add 2

Ivan's pattern: start with 11, add 3

For Raul:

Raul's pattern: start with 15, add 2

1st term = 15

2nd term = 15 + 2 = 17

3rd term = 17 + 2 = 19

4th term = 19 + 2 = 21

5th term = 21 + 2 = 23

6th term = 23 + 2 = 25

For Ivan:

Ivan's pattern: start with 11, add 3

1st term = 11

2nd term = 11 + 3 = 14

3rd term = 14 + 3 = 17

4th term = 17 + 3 = 20

5th term = 20 + 3 = 23

6th term = 23 + 3 = 26

Summary

Term >>>>> Raul >>>>>> Ivan

1 >>>>>>>>> 15 >>>>>>>> 11

2 >>>>>>>>> 17 >>>>>>>> 14

3 >>>>>>>>> 19 >>>>>>>> 17

4 >>>>>>>>> 21 >>>>>>>> 20

5 >>>>>>>>> 23 >>>>>>>> 23

6 >>>>>>>>> 25 >>>>>>>> 26

From the calculations made above, we can see that in the 5th term, both Raul and Ivan has the same number as 23.

Solve x^2 - 4x +18= 0 by completing the square.

Answers

Answer:

Your answer is: x = 2 ± i√14

Step-by-step explanation:

Hope this helped : )

Find f(-2) for f(x) = 2x3x

Answers

Answer:

32

Step-by-step explanation:

Use the given functions to set up and simplify  f (− 2 ) .

First,

Write the problem as a mathematical expression

Then,

Replace the variable  x  with  − 2  in the expression.

Answer:

The answer is 24

Step-by-step explanation:

You would get this by plugging in -2 for X

2(-2)3(-2)

Then with PEMDA do parenthesis first

So (-4)(-6)

Then multiply the final together and you would get..

24

This is because two negatives equal a positive when multiplying.

What is the measure of ZA degrees?​

Answers

Answer:

Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal

Therefore,

angle ABC  = angle ACB

We are given that angle ACB  is 30 degrees

Hence, angle ABC = 30 degrees

We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees

So, angle ABC + angle ACB + angle CAB  = 180 degrees

replacing the variables with values we already know

30 + 30 + angle CAB = 180

angle CAB = 180 - 60

angle CAB = 120 degrees

Hence the measure of angle A is 120 degrees

Help Asap
Phone company 1 offers a plan that costs 35.99 and includes unlimited texting, phone company 2 offers a plan that costs 19.99 and charges 0.25 per text
For what number of texts does the 2nd phone company plan cost more than the 1st phone company

Write and solve an inequality that models this situation. define your variables.

Answers

Answer:

at 65 texts , co 2 costs more

19.99 + .25x > 35.99

x= number of texts

Step-by-step explanation:

19.99 + .25x = 35.99

x= number of texts

.25x= 35.99-19.99

.25x=16

x=16÷.25

x=64

Find the ordered pair $(x,y)$ that satisfies the system of equations

Answers

Answer:

(9,6)

Step-by-step explanation:

9+6=15

9-6=3

Answer:

(9,6)

that's the answer

312 x 32 standard algorithm

Answers

Answer:  9984

Step-by-step explanation:

In think you just multiply right cause you dis not give any direct message!?!

hope this helped you in any kind of way!?

Answer:

the answer is 9984

Step-by-step explanation:

312

× 32

_______

+624

+936

______

=9984

The length of a new rectangular playing field 4 yards longer than double the width. If the perimeter of the rectangular playing field is 344 yards, what are it’s dimensions?

Answers

Answer:

Hi There!

Your answer is:

Length = 116

Width = 56

Step-by-step explanation:

L= 4+ 2w

Width=w

perimeter formula

l+l+w+w= perimeter

Subsitute L for 4+2w

(4+2w)+(4+2w) + (w) + (w) = 344

8 +4w+w+w = 344

8+ 6w = 344

-8

6w = 336

/6

w= 56

PLUG BACK IN!

Length = 4+ 2w

Length = 4+ 2(56)

Length = 116

Width = 56

CHECK YOUR WORK

116+116+56+56= 344???

344 = 344 YES

HOPE THIS HELPS

Betty ran 20 miles in 180 minutes. At this rate, how many miles could she run in 260 minutes?

Answers

Answer:

40 miles in 260 minutes

Step-by-step explanation:

Answer:

28.8 miles

Step-by-step explanation:

Write the equation of the line with the given point and slope.
(-5, -3); slope = -3/5

Answers

A line in point slope form is y = mx + b

m = the slope

b = y-intercept

So far our line looks like: y = -3/5x + b

Let's plug -5 into x and -3 into y to solve for b

-3 = -3/5(-5) + b

Let's multiply -5 by -3/5

-3 = 3 + b

Subtract 3 from both sides.

-6 = b

Our line is: y = -3/5x - 6

Please help! If it’s correct ill mark brainliest!

Answers

Answer:

1. b     2. b

Step-by-step explanation:

1. In the graph it shows a negative slope so we can immediately eliminate a and c since they have a positive slope as shown in the equation. Then the initial value is the y coordinate when x is 0. In the graph you can see that when x is 0 y is 18 so the equation would be h= -3+18

2. In the problem it says that Jennifer is paid $2,200 as a base salary. This means that this is her initial value. Then you can see that she gets paid 300 extra for every car she sales. This is the rate of change. The equation will be y=300x+2,200

fyi 300 goes first because it is the rate of change and those always go first.

hope this helps! :)

Can somebody help me find the perimeter of this figure?

Answers

Answer: P = 64in,

Step-by-step explanation:  P = 17 + 13 + 25 + 9

Which is the solution set of the inequality 15 y minus 9 less-than 36

Answers

Answer:

Someone hurry and help me and this person answer this becuase this s on my test  and we need help

Step-by-step explanation:

Answer:

C. y<3

Step-by-step explanation

got it right on edge

Which sentence best describes the interval [-2,1]

Answers

Answer:

The function is increasing on the interval [-2,1]

Step-by-step explanation:

The best sentence that describes the interval [-2, 1] implies that the function is increasing on the interval [-2, 1].

What is a cubic polynomial function?

A cubic polynomial function is a polynomial function whose power is at 3°. It has a general formula f(x) = ax³ + bx² + cx + d.

where;

a, b, c, and d are real numbers, hence a ≠ 0.

If the data given in the table is represented on the graph, we can see that the data value proceeds in increasing order from negative to positive, as such:

The best sentence that describes the interval [-2, 1] implies that the function is increasing on the interval [-2, 1].

Learn more about cubic polynomial function here:

https://brainly.com/question/1851334

#SPJ2

Find the Greatest Common Factor and Least Common Multiple for 20 and 8. GCF is LCM​

Answers

Answer:

GCF= 4 LCM=40

Step-by-step explanation:

Factors of 8:1,2,4,8

Factors of 20:1,2,4,5,10,20

Greatest common factor is 4 because it is the highest factor in both sets.

Multiples of 8:8,16,24,32,40,48,56,64,72,80...etc

Multiples of 20:20,40,60,80,100,120,140...etc

Lowest common multiple is 40 because it is the lowest multiple in both sets.

Please find angles s and k

Answers

Answer:

s-64 and k-116

Step-by-step explanation:

3. How many subsets will the set below have?
T= {Monday, Tuesday, Wednesday, Thursday, Friday)
A5
B. 10
C. 32
D.64

Answers

Answer: C) 32

Explanation:

There are n = 5 items in set T

This means there are 2^n = 2^5 = 32 subsets

One half of a number (use x) is equal to 8 less than the same number.

Answers

Your answer is 16
1/2(16)=8-16
8= 8✅

Find two consecutive whole numbers that 63 lies between.

Answers

Answer:

They are 62 and 64.

There are 785 people seated in a large cafeteria. Six people can sit at each table. How many tables are in the cafeteria?

Answers

If their are 785 people settled in a large cafeteria and 6 people are seated at one table you would get 785-6 and get 779 tables in a cafeteria.

THIS IS URGENT! PLZ HELP!

Answers

Answer:

73

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

[tex]8^2[/tex] is 64. [tex](7-4)^2[/tex] is the same as [tex]3^2[/tex] which is 9. 64+9=73. Here, for [tex](7-4)^2[/tex] , we can evaluate the part inside the bracket first. And 7-4=3.

what is the area of the arrow shown?

Answers

what arrow i do not see any picture

Answer:

80 in

Step-by-step explanation:

The list below shows the number of magazines a bookstore sold each day during one week.

5, 6, 8, 9, 6, 10, 7

What is the median number of magazines sold during the week?

A. 6

B. 7

C. 9

D. 10

Answers

Answer:

7

Step-by-step explanation:

You have to but the numbers in order than you cross each of the ends until you get the middle number/median

Answer: 9

Step-by-step explanation:

The median in math is basicly the middle of the list. First, put the list in order from least to greatest. Then, find the middle. If there is no middle, add the two numbers in the middle. Add them together, and divide the sum by two. The quotient is the median.

In this case, there is a middle. The middle is nine. Nine is the median.

-7 w 2 + 2w (if w=-4)

Answers

Answer:

48

Step-by-step explanation:

plug in -4 for W

if you mean times 2 not plus after -7w

-7(-4) (2) + 2(-4) =

28(2) - 8 =

56-8=

48

if a man pay #357 for a book,how much will he pay for 78 books?​

Answers

Answer: 27,846

Step-by-step explanation: 357 x 78 = 27,846

Answer:

$27846

Step-by-step explanation:

One book cost = $357

So, for 78 books, it  will be $357 * 78

=> $27846

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

what is 3 3/8 times 4 1/3?

A. 7 1/8
B. 12 1/8
C. 14 3/8
D. 14 5/8

Answers

Answer:

14.625

Step-by-step explanation:

D I think that is The answer

Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.



How much did Diego pay for the 12 books?

Answers

X = $ 52 for the 12 books Diego bought
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