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

Select all equations that have infinitely many solutions.
A. 2x + 5 = 4 + 2x + 1
B. 5x – 5 = 11x + 2 - 1
C. 3x + 2 - 2x = x + 2

Answers

Answer:

A

C

Step-by-step explanation:

Hope this helps.

Good luck.

what is the measure of angle f

Answers

Answer:

C) 116

Step-by-step explanation:

<F = x

x + 64 = 180

x = 116

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 %

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:

Given the equation of a line y = 10x, create a scatter plot of data points that would fit the provided line of best fit. Include a description of the variables in the scatter plot.

Answers

Answer:

10xline y =46

Step-by-step explanation:

this is what i got dont thank me im not the best at math

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

QUICK!!! ASAP!! BRAINLIST GETS 10 POINTS!! PLEASE I NEED THIS QUICK!

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
7

Answers

Answer:

y = f(x)

Initial value will be the first point: (0,1) = 1

Step-by-step explanation:

Which axis is the shape being reflected across? (Which axis is th
mirror?)
1c
8
1
45
A
yaxe

Answers

Answer:

report the question with the link

Step-by-step explanation:

it takes you to a human trafficing website report it ill do it too

Where will the reflection of A over the y-
axis be?
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

So we have the position after the reflection on the first quadrant


Find the missing measure in each triangle. Then classify the triangle
as acute, right, or obtuse.

Answers

1. 15 | 2. 130 | 3. 41

Find 24% of 165. Need explanation

Answers

Answer:

39.6

Step-by-step explanation:

i would give explanation but im bad at doing that

Answer:

39.6

Step-by-step explanation:

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

18x2 = 2x18 is the associative property?​

Answers

Answer:

yes

Step-by-step explanation:

the product does not change

Answer:

yes

Step-by-step explanation:

the difference is same, since the product can't change

HELP ASAP!!!
thanks if you helped!

Answers

Answer:

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

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIST

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

97 divided by 17 between what two consecutive whole numbers does the value lie? A: Between 3 and 4 | B: Between 5 and 6 | C: Between 8 and 9 | D: B: Between 4 and 5

Answers

Answer:

dez nutz

Step-by-step explanation:

DEZ NUTZZZZZ ACROSS YOUR FACE

Please find the greatest common factor there is a picture

Answers

Answer:

500y[tex]^{2}[/tex]

Step-by-step explanation:

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

Answers

Answer:

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

Please mark my answer as brainliest for further answers :)

Who u think is better ???? Kageyama orrr katsuki bakugou

Answers

Answer:

Step-by-step explanation:

kageyama. ig

Answer:

Kageyama takes the cake 100%

Step-by-step explanation:

Someone help me I need to get this finished by tomorrow ASAP

Answers

X=2 shown in the work below.

what is the opposite of 1/7​

Answers

Answer:-1/7

Step-by-step explanation:

i could be wrong but i tink it going to negative would be the opposite

Rewrite the expression in the form k*x^n

(16/x^3)^1/4

Answers

Answer:

2*x^(3/8)

Step-by-step explanation:

Answer:

2*x^(3/8)

Step-by-step explanation:

khan

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

Answers

6 and 4 is the right answer

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:

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

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

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

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

Factor the difference of two perfect squares - 3m^2 - 243 =0

Answers

Divide by 3 and you get m^2-81 so then factor and get 3(m+9)(m-9)

Please help with number 6 and 7. Real answers please!! Help me soon as posible.

Answers

Answer:

b

Step-by-step explanation:

jehdgdhdeoejejrbdnsnskd

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

Answers

Answer:

t = 50

Step-by-step explanation:

EI = EG

2t - 79 = t - 29

t - 79 = -29

t = 50

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