Mathematics High School

How do you solve for x and y in two equations?

Answers

Answer 1

We can solve for x and y in two equations by using the Elimination method for the simultaneous linear equations.

The Elimination approach results in the reduction of one problem to a single-variable equation when two simultaneous linear equations are solved. Following this, the answer is the same as when one line was vertical or parallel. The Gaussian elimination method is the name given to this approach.

We can understand the above method through an example:

Equation 1:     4x + 6y = 8

Equation 2:     3x + 4y = 5

Step 1: In order to ensure that the two equations have the same leading coefficient, multiply each equation by a reasonable value. Equation 1 may be easily solved by multiplying it by 3, the x coefficient from Equation 2, and Equation 2 by 4, the x coefficient from Equation 1.

Therefore the equations become,

12x + 18y = 24

12x + 16y = 10

Step 2: Subtract equation 2 from equation 1

We get 2y = 14

From the above equation, we get the value of y as 7

Step 3: We will substitute the value of y in one of the initial equations

Substituting the value of y in equation (1) 4x + 6y = 8

4x + 6(7) = 8

4x + 42 = 8

4x = 34

x = [tex]\frac{34}{4}[/tex]

x = [tex]\frac{17}{2}[/tex]

Read similar questions about Simultaneous Linear Equations from:

https://brainly.com/question/14784513

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Related Questions

Find the value of X.

What is the interior angle sum of this polygon?
(Drop Down) - 180, 360, 540, 720

Set up an equation to solve for x: ___________=____________
X=_____________

Please help me asap!

Answers

Step-by-step explanation:

hey the answer is 12 I'll take a picture of it

Answer:

90+100+110+3x+2x=360

300+5x=360

5x=360-300

5x=60

x=12

greatest common factor of -12x^2 and -16x^3​

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6 and 4 is the right answer

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Answer:

Step-by-step explanation:

kageyama. ig

Answer:

Kageyama takes the cake 100%

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂

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What is the initial value of the function represented by this graph?

A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 1 with the ordered pair 6, 7.

1
5
6
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Answers

Answer:

y = f(x)

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Step-by-step explanation:

Which expression is equivalent to (3^2)^4⋅(3^4)?

Answers

Answer:

i am confused on what you are asking but if you explain it i would love to help

Step-by-step explanation:

help plz i need hel-p im so stuck man im lost

Answers

Answer:

t = 50

Step-by-step explanation:

EI = EG

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The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including a 4 foot overhung. a. Knowing that the pitch of a roof is the ratio of the rise to the run, find the pitch of this roof. B. If the entire roofline measures 100 feet from end to end, find the total area of the roof. c. Find the percent of the roof used for the overhang

Answers

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

[tex]$=\frac{48}{2}$[/tex]

= 24 feet

a). So the rise of the roof is [tex]$= \sqrt{(26)^2-(24)^2}$[/tex]  

                                         = 10 feet

b). Pinch of the roof is [tex]$=\frac{\text{rise}}{\text{run}}$[/tex]

                                     [tex]$=\frac{10}{24}$[/tex]

                                     [tex]$=\frac{5}{12}$[/tex]

c). The percent of the roof used as overhung is

     [tex]$=\frac{4+4}{60}\times 100$[/tex]

     [tex]$=\frac{80}{6}$[/tex]

       = 13.33 %

The sum of two numbers is 19 . When the second number is subtracted from the first​ number, the difference is 17 . Find the two numbers.
What are the two​ numbers?

Answers

Answer:

19 and 2

Step-by-step explanation:

Let x represent the first number and y represents second number

x + y = 19

x - y = 17 add two equations up

2x = 36 divide both sides by 2

x = 19 and since the difference is 17 the other number is 2

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Answers

Answer:

10xline y =46

Step-by-step explanation:

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Answers

Answer:

C) 116

Step-by-step explanation:

<F = x

x + 64 = 180

x = 116

The ratio of goats to sheep at a university research farm is 4:7. The number of sheep at the farm is 28. What is the number of goats?

Answers

Answer:

16.

Step-by-step explanation:

7×4= 28

since this is a ratio you so the same to the other side

4×4=16

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Answers

Answer:

A

C

Step-by-step explanation:

Hope this helps.

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Answers

Answer:

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Step-by-step explanation:


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Answers

1. 15 | 2. 130 | 3. 41

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Answers

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Answers

Answer:

2*x^(3/8)

Step-by-step explanation:

Answer:

2*x^(3/8)

Step-by-step explanation:

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Answers

Answer:

39.6

Step-by-step explanation:

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Answer:

39.6

Step-by-step explanation:

24% of 165 = 165 times 24% = 165 × 0.24 = 39.6

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Answers

Answer:-1/7

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

G. [tex]\frac{11}{20}[/tex]

Step-by-step explanation:

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Answers

Answer:

yes

Step-by-step explanation:

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Answer:

yes

Step-by-step explanation:

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Quadrant
Duadrant
Quadrant V
Duadrant

Answers

Answer:

The reflection will be on the first quadrant

Step-by-step explanation:

Here, we want to reflect the given point over the y-axis

By reflecting over the y-axis, we simply have to negate the x-coordinate value

So after the reflection, the point (-8,5) becomes (8,5)

(8,5) is a point on the first quadrant

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1c
8
1
45
A
yaxe

Answers

Answer:

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Step-by-step explanation:

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Which statement best describes the parties in this lease? Candace Pickles is the renter, Capital Rabbit Properties is the agent, Robin Russo is the owner Candace Pickles is the owner, Capital Rabbit Properties is the agent, Robin Russo is the renter Candace Pickles is the agent, Capital Rabbit Properties is the renter, Robin Russo is the owner Candace Pickles is the renter, Capital Rabbit Properties is the owner, Robin Russo is the agent

Answers

Answer:

I believe the answer is Candace Pickles is the renter, Capital Rabbit Properties is the owner, Robin Russo is the agent but I'm not 100% sure.

Step-by-step explanation:

Which of the following is the same formula as A = 6s2 ?

Answers

Answer:

S.A = 6[tex]s^{2}[/tex]

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Answers

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Answer:

b

Step-by-step explanation:

jehdgdhdeoejejrbdnsnskd

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Answers

Answer:

angle Z=20°

side xy≈15.36

hypotenuse≈19.49

Step-by-step explanation:

Find angle z adding the other two angles and subtracting that by 180 to get 20.

(12)tan(20) gets you side xy which is 15.36

12^2+15.36^2=xz^2

1 point
Question 17: There were 900 students initially infected by the flu. After
medicine was distributed, the number of sick students was cut in half
every week. How many will still be sick after 4 weeks?

Answers

Answer:

56 will be sick after 4 weeks.

Step-by-step explanation:

900 / 2 = 450 (Week 1)

450 / 2 = 225 (Week 2)

225 / 2 = 112.5 (Week 3)

112.5 / 2 = 56.25 (Week 4)

(Rounding to a whole number since there can't be a quarter of a child)

Answer:

56.25 students would still be sick after 4 weeks

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