Use the Echelon Method
1. Solve
x + 3y = 7
3x + 4y = 11

Answers

Answer 1

Answer:

x = 1     y = 2

Step-by-step explanation:

x + 3y = 7

- Subtract x from both sides.

3y = -x + 7

- Divide both sides by 3 to isolate the variable.

y = -1/3x + 7/3

- Plug the value of y into the other equation.

3x + 4(-1/3x + 7/3) = 11

3x - 4/3x + 28/3 = 11

- Add like terms.

5/3x + 28/3 = 11

5/3x = 5/3

x = 1

- Plug the value of x into the equation.

x + 3y = 7

(1) + 3y = 7

3y = 6

y = 2


Related Questions

HELp PLeASE! WITH WORK

Answers

9514 1404 393

Answer:

  d  no

Step-by-step explanation:

The equation of direct variation is a linear (1st-degree) equation. This is a quadratic (2nd-degree) equation, so is not direct variation.

Please help i will give extra points:)

Answers

Answer:

difference is that at night temperature automatically increase so it's -6°F and at afternoon beacuse of sun temperature is high. and overall 12°F.

Step-by-step explanation:

please mark me brainliest

A baby elephant that is 4 ft tall casts a
shadow that is 6 ft long. Find the length
of the shadow that a 6 ft lawn ornament
casts.

Answers

8ft long shadow because the shadows are 2ft taller than their actual height

plzzzzzzzzz helppppp​

Answers

Answer:

The second and third boxes. m=-10/4 & -5/2 & the last one

Step-by-step explanation:

We know the answer is negative so we need to add a larger number to get the 3/4 to the negatives. 3-10= -7, so -10/4 and -5/2 is equal to -10/4

Answer:

The second one m= -10/4, the third one m= -5/2, and the last one -5/4+m= -15/4

Step-by-step explanation:

You find m by solving -7/4 - 3/4 = m. Thats the second option -10/4.

When you simplify, you get -5/2, the third option.

Finally, -5/4+m= -15/4 is equal to -15/4 -(-5/4)=m. Subract and you get -10/4. That makes the original equation equal to the last option.

(2x+5)(6x−1)=120

dbdjkslssllalammsbdjfkf

Answers

Answer: x = 115/2 and 119/6

You can simplify the answer.

Step-by-step explanation:

(2x + 5)(6x -1)= 120

120 = (2x +5) and (6x -1) = 120

120 - 5 = 2x and 6x = 120 - 1

115 = 2x and 6x = 119

115/2 = x and x = 119/6

Answer:

=>(2x+5)(6x-1)=120

=>2x(6x-1)+5(6x-1)

=>12x>2-2x+30x-5=120

=>12x>2+28x-5-120=0

=>12x>2+28x-125=0

Step-by-step explanation:

please make me brailliest

30. Upper Trail is 6.8 kilometers long. Lower trail is 7.25 kilometers long. How much longer is Lower Trail?​

Answers

Answer: The lower trail is 0.45km longer then the upper trail.

Step-by-step explanation: So all you need to do is find the difference between the two lengths. To do that your just going to subtract the greater length by the smaller length. So in this case:

7.25-6.8=0.45

so the lower trail is 0.45km longer then the upper trail.

what is the value of the digit 4 in the number 84,230?

Answers

Answer:

4,000

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

4 is in thousands place value; therefore, the digit 4 represents the number 4,000 in the number 84,230.

Hope this helped you out...have an amazing day! :)

The temperature in Delaware was -8 degrees at midnight, then decreased by 13 degrees. What was the temperature in the morning?

Answers

Answer:

-21 degress f

in the morning hope this helped bestie!!

Need help Please, someone thanks

Answers

Answer:

x = 5

Step-by-step explanation:

The axis of symmetry is the vertex x coordinate

help me please right anwsers only pleaseeeeeeee quick

Answers

13)3302 (254

2600

________

702

702

________

× × × ×

Answer:

54

Step-by-step explanation:

Can someone help we with this problem?

Answers

Answer:

14

Step-by-step explanation:

if x=4 and y=-3

4²-4(-3)/2

16+12/2

28/2

14

Which point is on the interior of DEF? point F point H. point D point G​

Answers

F will be your interior

Answer:

Point G

Step-by-step explanation:

Interior is the inside of the geometric shape, which is Point G.

Point H is the exterior of DEF.

A circle has a circumference of 18cm. What is the diameter of the circle?​

Answers

Answer:

Around 5.73. The exact answer is 18/pi. Why? The diameter is twice the radius (2r) The formula of the circumference if 2 pi R

if we divide 18, the circumference by pi, we get the diameter.

Step-by-step explanation:

Answer:

18/π

Step-by-step explanation:

Since 2 × π × r is the circumference of the circle,

2πr = 18

πr = 9

r = 9/π

Since the diameter is 2x the radius,

2r = d

2 × 9/π = d

18/π = d

Can someone tell me if i did this right? it is algebra 1

Solve for r.

s=2πrh




A) 2πsh=r

B) s/2π=r

C) s/2=r

D) s/2πh=r This one should be the answer right?

Answers

Answer:

A

A is your answer

A is your correct answer

simplify by combining like terms y+9+2b+y+5b+2

Answers

Answer:

not so sure but I guess that's the answer there

Jay went to am amusement park. The park charges an entrance fee of $10.50 and $4.50 for every ride. Jay spent 46.50 on entrance fees and rides. Which function can be used to find the number of rides he went on?

Answers

Let total number of rides be represented by x
And total amount spent on the ride and entry fees be y
Entry fees of the park = $10.50
Also, Charge for each ride is given to be $4.50
So, The linear function which describes the situation :
y = 10.50 + 4.50x
Now, Its given that Jay spent a total of $46.50 in the park
So, to find total number of rides taken substitute y = 46.50 in the above linear equation.
⇒ 46.50 = 10.50 + 4.50x
⇒ 4.50x = 36
⇒ x ≈ 8
Thus, Number of rides taken = 8

8
The display on a calculator screen is shown below.
6.539058 E -8
What number does the calculator display represent?
OA. 653,905,800
OB. 65,390,580
OC.
0.0000000065
OD.
0.0000000654

Answers

Answer:

D. 0.0000000654

Step-by-step explanation:

The exponent determines which way the decimal moves. If the exponent is positive the decimal moves to the right, and negative means it moves to the left.

Since the exponent, in this case, is -8, the decimal moves 8 places to the left.

6.539058 E -8 --> 0.00000006539058

This can be rounded up to 0.0000000654

Answer:

D

Step-by-step explanation:

6.539058 E -8 means 6.539058x10^-8

Which is equivalent to Option D when transformed into its normal form.

Is the number -14 irrational ?

Answers

I think it is irrational

Answer:

yes

Step-by-step explanation:

it's irrational cuz it's negative

Can someone help with Thai geometry

Answers

Answer:no

Step-by-step explanation:

compare the numbers using < > or = 74,820__ 103,115​

Answers

74,820 < 103,115

······

Answer:

<

Step-by-step explanation:

What is the most precise (smallest) subset of real numbers that the following numbers
belong in?
17

Answers

Answer:

Even numbers are integers that have 2 as a factor; odd numbers are all the other integers. Prime numbers are integers that have only themselves and 1 as factors. Perfect numbers are integers whose factors add up to the number. The smallest perfect number is 6 and its factors, 1, 2 and 3 add up to 6.

Step-by-step explanation:

HELPPP simplify the following LIKE TERMS-7 - y + 2x + 13y - 10

Answers

Answer:

-17 + 12x + 2x

Step-by-step explanation:

[tex] - 7 - y + 2x + 13y - 10[/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

[tex] - 17 - y + 2x + 13y[/tex]

[tex] - y + 13y = - 1y + 13y = ( - 1 + 13)y = 12y[/tex]

[tex]\boxed{\green{= - 17 + 12y + 2x}}[/tex]

No links I need the full answer to the perimeter of the trapezoid below

Answers

Answer:

26

Step-by-step explanation:

All you have to do is add up all the sides and lengths of the rectangle. 7+6+5+8=26

the answer is 26. all you do is add up all sides to get the answer

The generally agreed-upon combination of factors that contribute to modern alcohol use includes:_________

Answers

Answer:

People turn to alcohol when they desire to get relief from their anxiety.

) Dan bought 5 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 32 cards left.
How many cards did Dan start with ?

Answers

Answer:

Start by writing an equation with a a variable (call it X) to represent the number Dan started with.

 

He started with X, added 5 more, then his dog took half or divide by 2. He then ended up with 32. Solve:

 

(X +5)/2 = 32 Multiply each side by 2

X+5 = 64 Subtract 5 from both sides

X = 59

     

Answer:

59

Step-by-step explanation:

Let the Dan's baseball be x

When 5 added

(x + 5)

Dog ate half

(x + 5)/2

(x + 5)/2 = 32

(x + 5) = 32(2)

x + 5 = 64

x = 64 - 5

x = 59

Page No.3
5) Write the following statements in 'if-then' form.
a) In an isosceles triangle, the segment joining the vertex and the mid point of the base
is perpendicular to the base.​

Answers

Answer:

Step-by-step explanation:

If a triangle has two legs of equal length

Then the bisector of the angle between those legs is perpendicular to the third side.

Jdndndnd d dndndnd d s w w wbeneneheh

Answers

Answer:

17

Step-by-step explanation:

If L and M are parallel then the angles will add up to 180 (a straight line), so:

6x+8+4x+2=180

10x+10=180

10x=170

x=17

Evaluate 2x − 4 for x = 9.

Answers

Answer:

2x - 4 = 14

When x = 9

Step-by-step explanation:

Use PEMDAS order of operations to solve:

2(9) - 4

= 18 - 4

= 14

Which is a list of irrational numbers from least to greatest?
1
V2
1
va'
O V5,
V5,
O V5, 11, 12
ot; ž, v5

Answers

The answer is D, or the last one.

u
Question 3
5 pts
Charlie can run at a speed of 5.35 miles per hour. How far can he run in 2.5
hours?

13.375 miles

o 7.85 miles

2.85 miles

133.75 miles

Answers

Answer:

13.375 miles

Step-by-step explanation:

Hope this helps :)

I believe the answer is 13.375 is the answer!
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