Cross multiplication method, find the value z and y for 3x + 5y = 70 and 7x-3y =60

Answers

Answer 1

Answer:

Y=7.05

X= 11.6

Step-by-step explanation:

Equate both equations to zero

3x+5y=70--------equation 1

7x-3y=60---------equation 2

From the equation above

a1=3, b1=5, c1=-70

a2=7, b2= -3, c2=-60

By applying the cross multiplication method

x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1

x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)

x/-300-(-210)=y/-490-(-180)=1/-9(-35)

x/-510=y/-310=1/-44

x/-510=1/-44 , y/-310=1/-44

-44x=-510 , -44y= -310

x=11.6 , y=7.05

Thus, the value of x is 11.6 and the value of y is 7.05


Related Questions

Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef for $4.95. Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45.

Answers

Answer:

Corn Beef = x

Creamed Chipped beef = y

Jan:

2x + 3y = 4.95

Wayne:

3x +2y = 5.95

Graph two equation and find the point where two lines cross and that will be solution.

Point where two lines cross: (1.29, 0.79)

Corn Beef = $1.29

Creamed Chipped Beef = $0.79

Step-by-step explanation:

0.7(1.5+ y) = 3.5y - 1.47
Solve

Answers

Answer:

y = .9

Step-by-step explanation:

0.7(1.5+ y) = 3.5y - 1.47

Distribute

1.05 +.7y = 3.5y -1.47

Subtract .7y from each side

1.05 +.7y.-.7y = 3.5y-.7y -1.47

1.05 =2.8y -1.47

Add 1.47 to each side

1.05+1.47 = 2.8y

2.52 = 2.8y

Divide by 2.8

2.52/2.8 = y

.9 = y

Answer:

y = 0.9

C, the third one

Step-by-step explanation:

Examine this multistep equation with variables on both sides.

0.7(1.5 + y) = 3.5y - 1.47

Which of the following is the solution to this equation?

y = 0.09

y = 0.17

y = 0.9

y = 1.7

Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one

year.

The interest on the loan is

The APR on this loan is

Answers

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

PLEASE HELP!! The cost for parking in the local covered parking lot is calculated by ƒ(h) = 4.5 + 1.5⌈(h - 1)⌉ where h is the number of hours you parked. What is the cost for parking in the garage for 75 minutes?

Answers

Answer:

The cost of parking in the garage for 75 minutes is 4.875.

Step-by-step explanation:

The costs of parking h hours is given by the following function:

[tex]f(h) = 4.5 + 1.5(h-1)[/tex]

Cost of parking 75 minutes.

1 hour is 60 minutes. How many hours are 75 minutes?

1h - 60 min

xh - 75 min

[tex]60x = 75[/tex]

[tex]x = \frac{75}{60}[/tex]

[tex]x = 1.25[/tex]

75 minutes is 1.25 hours. So we have to find f(1.25).

[tex]f(1.25) = 4.5 + 1.5*(1.25-1) = 4.875[/tex]

The cost of parking in the garage for 75 minutes is 4.875.

Which point on the number line best represents
V10?
3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0
tohoto
E F G H
F
G
E
H​

Answers

Answer: The answer is F

Step-by-step explanation:

In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.

Answers

Answer:

6:5

Step-by-step explanation

boys : girls

= 18 : 15

Now time to simplify:

18/3: 15/3

= 6:5

11(4t + 1) what is the answer

Answers

Answer:

44t + 11

Step-by-step explanation:

11(4t + 1)

Distribute 11 amongst the values inside the parenthesis

11(4t) + 11(1)

Multiply

44t + 11

Hope this helps :)

Answer:

[tex]44t + 11[/tex]

Step-by-step explanation:

[tex]11(4t + 1) \\ = 44t + 11[/tex]

Georgette has purchased award plaques for her company's conference. Each plaque costs $7.50, and Georgette paid a one-time shipping fee of $40 for the order. Calculate the total cost for the order based upon the number of plaques purchased.

Answers

Answer:

y=7.5x +40

Step-by-step explanation:

In an elementary school, 25% of the 252 students ride a bus to school each day. How many students ride the bus?

Answers

Answer:

63 ride the bus

Step-by-step explanation:

of means multiply

25% * 252

Change to decimal form

.25* 252

63

The product of two numbers is 154. If the difference between the two numbers is 3. find the numbers​

Answers

Answer:

So, the numbers are -11 and -14.

Which number is farthest from 2 on the number line?
12.1
124
12.5
12.9

Answers

124
Is the greatest number from 2

Answer:

the correct answer is B (124)

Step-by-step explanation:

Please help, idk how to do this

Answers

Answer:

D. 180 degrees

Step-by-step explanation:

A straight line is 180 degrees.

Answer:

The answer is 180 degrees.

Step-by-step explanation:

✌Hope I helped ya✌

Brainliest would be nice

< Sarah >

which equation can be used to solve for c?​

Answers

Answer:

The second option

Step-by-step explanation:

cos35=5/c

5/c=cos35/1

cos35(c)=5

c=5/cos35

Therefore, the second option.

I hope this helped and have a good rest of your day!

The population density of Themville is 17.5 Thems per acre. Exactly 840 Thems live in Themville. How many acres is Themville?

1470 acres

48 acres

14700 acres

480 acres

Answers

Answer:

48 acres

Step-by-step explanation:

I hope this helps!

A gazebo is located in the center of a large, circular lawn with a diameter of 200 feet. Straight paths extend from the gazebo to a sidewalk around the lawn. If two of the paths form a 75° angle, how far would you have to travel around the sidewalk to get from one path to the other? Round your answer to the nearest foot if necessary.
a. 183 ft
b. 262 ft
c. 131 ft
d. 3,125 ft​

Answers

Answer: The answer is 131 ft.

Step-by-step explanation:

The gazebo staying in the centre of the circular lawn forms an sector with the two paths that are 75 degrees to each other. The formula for length of an arc of a sector which is the distance between the two paths is \frac{angle}{360} * 2\pi * radius\\radius = \frac{diameter}{2} = \frac{200}{2} = 100 ft\\ angle = 75 degrees.\\

Inserting these we have \frac{75}{360} * 2\pi * 100 = 130.8996 = 131 ft.

Hope it helps you !!

~Adrianna

Lauren is sewing a quilt using fabric squares.

The length of a side of a fabric square is represented by the expression x + 4.
Which expression represents the area of a fabric square?

4x + 6
2x + 8
x + 4
x2 + 8x + 16

Answers

Answer:

x^2 + 8x + 16

Step-by-step explanation:

Given length of square x + 4.

Area of square with side S is given by [tex]S^2[/tex].

Therefore are of square with side x + 4 is given by [tex](x + 4)^2[/tex]

Area of square = [tex](x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16[/tex]

Thus, x2 + 8x + 16 expression represents the area of a fabric square.

what is the volume of 3cm and 7cm

Answers

Answer:

21

Step-by-step explanation:

A bag contains 1p, 2p and 5p coins
3/8 of the bag are 1p coins.

There are as many 5p coins than 1p coins in the bag.
There are 640 coins in total.
Work out the number of 2p coins in the bag.

Answers

Answer:

160 2p coins

Step-by-step explanation:

3/8 x 640 = 240 = 1p coins

240 = 5p coins

240 + 240 = 480

640 - 480 = 160

Identify whether the following real-world example should be modeled by a linear,
quadratic, or exponential function.
Type the correct word (linear, quadratic, or exponential) as
your answer.

A. Each ink cartridge purchased for $12.

B. Throwing a ball.

C. The amount of money you earn when you get paid an hourly wage.

D. A bank account balance earning an annual interest rate.

E. Maximizing the area of a rectangular fenced area in a large field.

F. Population growth of a city.

Answers

Answer:

I beleive A is quadratic,

Step-by-step explanation:

Maya has $270. She spends one third on shoes and buys 3 shirts for $12. She spends the remaining amount to buy dresses for $32 each. Determine the number of dresses she buys?

Answers

Answer: 4 dresses

Step-by-step explanation:

Hope you get it right!

Find the equation of the line shown.
HELP PLEASEEE

Answers

Answer:

y = x+6

Step-by-step explanation:

The y intercept is 6  ( where it crosses the y axis)

We need to find the slope

For each y unit it goes up, it goes to the right 1 x unit

m = 1/1 = 1

We can use the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 1x+6

y = x+6

Does the residual plot show that the line of best fit is appropriate for the data?

Yes, the points have no pattern.
No, the points are evenly distributed about the x-axis.
No, the points are in a linear pattern.
Yes, the points are in a curved pattern.

Answers

Answer:

No, the points are in a linear pattern.

Step-by-step explanation:

Residual = actual value - predicted value

So our residual points are:

1, -2.4

2, -4.9

3, -6.2

4, -6

5, -7.9

As evidenced in the image, the points follow a linear pattern.

Answer:

C

Step-by-step explanation:

Find the exact value of sin 315º in simplest form with a rational denominator.

Answers

Answer: - √2

Step-by-step explanation:

Jennifer opens a box of Tasty crunch cereal. The box is 25 centimeters by 10 centimeters by 40 centimeters. What is the volume of the box?

Answers

Answer:

10000 cm²

Step-by-step explanation:

To find the volume of the box you would need to use the equation for volume of a rectangular prism, which is V = l*w*h

V = 25*10*40

V = 10000 cm²

if i fail a class for one semester will i fail6th grade

Answers

Answer:

yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much

Step-by-step explanation:

Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer

Answers

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

Select all ratios equivalent to 16:4.
12:3
1:2
24:6

Answers

can you show me a picture then maybe i can help you

The All-Clean Laundry Company washes towels for a nearby hotel. The function f(x) gives the number of loads required whenthere are x bins of towels to be washed. What does f(9) > 12 tell you?

Answers

Answer:

B. It takes more than 12 loads to wash 9 bins of towels.

Step-by-step explanation:

The function f(x) gives the number of loads

Where x= bins of towels

If f(9) > 12

Number of bins of towels =9; andNumber of Loads, f(x)>12

Therefore, f(9) > 12 tells us that it takes more than 12 loads to wash 9 bins of towels.

The correct option is B.

Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14

Answers

Answer:

1. x=3, y=1

2. x=1, y= 1

3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)

4. x=1 , y=2

Step-by-step explanation:

This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.

What times 55 would equal 200

Answers

Answer:

The answer is 3, it's the only answer closest to 200

Step-by-step explanation:

The answer would be 3.6363 because it is the closest to 200
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