5x+4y=16 -2x-4y=-4
Show your step by step process.
Solve the system of linear equations.​

Answers

Answer 1

Answer:

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

To solve this, lets take the first equation and find the x value.

Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.

5x+4y=16

-5x       -5x

4y=-5x+16

÷4   ÷4  ÷4

y=[tex]\frac{-5}{4}[/tex]+4

or

y=-1[tex]\frac{1}{4}[/tex]+4

or

y= 5[tex]\frac{1}{4}[/tex]

Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:

5x+4([tex]\frac{-5}{4}[/tex]+4)=16

5x-5+16=16

5x+11=16

    -11 -11

5x=5

÷5 ÷5

x=1 and y= 5[tex]\frac{1}{4}[/tex]


Related Questions

Help please I’m trying to do my homework and don’t understand

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Answer:

Answer is 9.

I think this is helpful. Vote it and like me

Write an equation for the following sentence:
The sum of three times a number and 7 is 20.

Answers

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

a system of two linear equations must have at least one solution as long as the lines have different intercepts. True or False.

Answers

Answer:

True

Step-by-step explanation:

Solve for x. −1/2x+1/3>3/5

Answers

X 307/ty;sm thats is mathematical thingy

Answer: x < -8/15

Step-by-step explanation: i took the test, I hope this helps! :)

Charlie is thinking about buying a game for his Xbox that cost $60 and requires a subscription to basic Xbox live that cost $10 per month he could choose to upgrade his Xbox live membership and then the game will be included but that membership is $15 a month how many months would Charlie have the game before the cost of the two is the same?​

Answers

Answer:

by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Hope this helps

Answer: by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Yw.

after the 15% sales tax the jeans were 16.10. how much was the jeans before the sales price?​

Answers

Answer:

$13.69

Step-by-step explanation:

16.10 decrease 15% =

16.10 × (1 - 15%) = 16.10 × (1 - 0.15) = 13.685

Solve this equation for x:
-100+2х=80+бх


Answers

Answer:

-45

Step-by-step explanation:

-100 + -80 = 6x + -2x

-180 = 4x

-180/4 = -45

Answer:

x= -45

Step-by-step explanation:

-100 + 2x =  80 + 6x

-80  - 2x  =  -80 -2x

------------------------------

-180 + 0   =    0 + 4x

-180/4 = x

-45 = x

Hey can someone please help me solve system of equations I’m failing can y’all help me pleaseee

Answers

Cashier job pays $9 per hour
Delivering newspaper pays $8 per hour

What is the quotient of 72 divided by 0.75?

Answers

Answer:

96

Step-by-step explanation:

Answer:

96 is the answer for this question


PLEASE HELP FOR 20 POINTS!

Answers

Answer:

Yes

Step-by-step explanation:

PLEASE HELP I WILL MARK BRANLIEST

Aiden was on a ladder painting a spot on a wall which is 30 feet above the ground. The distance between the base of the ladder and the base of the wall is 10 feet. If the ladder leans on the wall at the spot 30 feet above the ground, how long is the ladder that Aiden is using? Round to the nearest tenth.

Answers

31.62
You use pythagorean theorem so 30 is legA and 10 is legB so 20^2+10^2= square root legC which is 31.62

if someone could please help me on this it would be amazing thank you so much

Answers

Answer:

7 cm squared

Step-by-step explanation:

not sure if its right but thats what i got round up to

Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much of the pot is left over? PLS HELP I HATE MATH

Answers

Answer:

3/4 of the pot left.

Step-by-step explanation:

If the mom eats a 1/12 of the pot and then the brother also eats a 1/6 of the pot, then it is 9/12 left of pasta still. The reason for that is since 1/6 is equivalent to 2/12 so 1/12 plus 2/12 is 3/12, and if u subtract 3/12 from 12/12 it will give you 9/12 which can be simplified to 3/4 left of the pot.

Answer:

3/4 of the pot is left over

Step-by-step explanation:

find the least common denominator- in this case 121/12 and 2/12= 3/123/12-12/12=9/129/12=3/4 by simplfying

What is the highest common factor of 72 and 90

Answers

Answer:

18

Step-by-step explanation:

5kg of compost cost £7.50. Find the cost of 3kg of compost

Answers

Answer:

£4.5

Step-by-step explanation:

5kg= £7.50

£7.50/5 = £1.5

£1.50 =1 kg

£1.50 times 3 equals £4.5

£4.5

A module house is made by sticking a triangular prism on top of a rectangular block, as shown in the diagram.

Answers

Answer:

d

Step-by-step explanation:

The volume of the triangular prism.

= Base area x length of the prism

The volume of the rectangular block.

= Length x width x height

The volume of the model house is 1260 cubic feet.

Option A is the correct answer.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Module house:

Triangular prism on top and a rectangular block.

The volume of the triangular prism.

= Base area x length of the prism

= (1/2 x 12 x 4) x 15

= 24 x 15

= 360 cubic feet

The volume of the rectangular block.

= Length x width x height

= 12 x 15 x 5

= 900 cubic feet

The volume of the block house.

= Volume of the triangular prism + Volume of the rectangular block

= 360 + 900

= 1260 cubic feet

Thus,

The volume of the model house is 1260 cubic feet.

Option A is the correct answer.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Find the equation of the line shown

Answers

Y = x + 6 is the correct answer

Which inequality represents the sentence?

The difference of seven and two tenths and a number is more than twenty nine.
7.2 - n > 29
n - 7.2 Greater-than-or-equal-to 29
7.2 - n < 29
n - 7.2 < 29

Answers

7.2 x 29  then 208.8 29

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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Answers

Answer:

idrk,...............

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

1-g

2-h

3-k

4-n

5-f

6-l

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8-i

9-c

10-m

11-p

12-b

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At a used book sale, all the books cost the same price. Henry buys 4 paperback books for $3.20. Laney buys 9 books. How much does Laney pay for her books? Group of answer choices

Answers

Answer:

Henry: 12.80

Laney: 28.80

Step-by-step explanation:

2/5 (s + 20) help please

Answers

Answer:

2/5s+8

Step-by-step explanation:

2/5(s+20)

=(2/5)(s+20)

=(2/5)(s)+(2/5)(20)

=2/5s+8

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Answers

Answer:

600.06

Step-by-step explanation:

hiii please help i’ll give you brainliest if you show your work

Answers

Answer:

385

Step-by-step explanation:

Math answers to fraction 4235 divided by 11 can be calculated as follows.

4235/11 math problems division = 385. Therefore 385 to 2 decimal places= 385

Answer:

385

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Find the slope of the line
у
4
(1,4)
3
2
1
(0, 0) 3 4 5x
slope

Answers

Answer:

(0, 0)

Step-by-step explanation:

Can anyo help me thanks

Answers

Answer:

(-3, -5)

Step-by-step explanation:

We will multiply (6a -2b = -8) by -3, and (a - 3b = 12) by 2

Thus,

-18a + 6b = 24

2a - 6b = 24

=

-16a = 48

a= -3

Then we'll substitute,

-18(-3) + 6b = 24

54 + 6b = 24

6b = -30

b = -5

(-3, -5)

Lisa can run 4 more miles than Marlie. Marlie can run twice as many miles as Amy. Amy can run 3 miles. How many miles can Lisa run?

Answers

Lisa - 10 Miles
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ABC is reflected over the X axis. What are the vertices of A’B’C’?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Lydia buys 2 donuts. She cuts them up and shares them equally between 4 plates. What fraction of a donut goes on each plate? (2 points)
four over one donut
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Answers

Answer:

The answer is four halves donut i believe

Step-by-step explanation:

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Answer:

Step-by-step explanation:

a)y=2x+3

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