Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25

Answers

Answer 1

Answer:

(6, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Solution is (6, - [tex]\frac{1}{2}[/tex] )

Answer 2

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

3x - 4y = 20            ...1

4x - 2y = 25

8x - 4y = 50            ...2

Subtract equation 1 from equation 1, then we have

8x - 4y - 3x + 4y = 50 - 20

5x = 30

x = 6

The value of the variable 'y' will be given as,

3(6) - 4y = 20

18 - 4y = 20

4y = - 2

y = - 0.50

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

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Related Questions

Solve the proportion.

5/6 = 10/x÷1

x = ?

Answers

Given expression:

                    [tex]\frac{5}{6}[/tex]   = [tex]\frac{10}{x /1}[/tex]

Find x;

    To find x, let us first cross multiply;

       5 x (X /1)  = 6 x 10

  We know that any number divided by 1 will give back that same number; so the value of the expression in the parentheses is x

        5 x X   = 60;

So, divide both sides by 5 to give the value of X;

       X  = [tex]\frac{60}{5}[/tex]   = 12

The value of X is 12


The graph shows a proportional relationship between distance and time.
What is the UNIT RATE of miles to time? *
320
240
160
Distance (mi),
80
8.
2
6
Time (h)
O 80 miles/hour
O 160 miles/ 4 hours
O 0.025 miles/hour
40 miles/hour
O Other:

Answers

Answer:

40 miles per hour, since the distance travelled is 80 miles in 2 hours, divide that in half and you have the proportion

Identify the segment bisector of AB. Then find AB.
c
4 5/6
D
A
B
Segment bisector=

AB =

Answers

angles, bisectors, angle relationships, and how to classify polygons. 1.1 Points, Lines AB or any combination of two of the letters A,C or B in any order. c) Yes, they lie on. If the two endpoints are (-5, 6) and (3, 4), then the midpoint is (-1, 4). -1 is halfway 108◦. = 72. ◦. Example 6: Are ∠CDA and ∠DAB a linear pair?

Which lines are parallel to 6x + 3y = 2 (Select all that apply)
A.y-1 = 2(x - 1)
B.y-1 =-2(x- 1)
C.12x + 6y = 4
D. y = -2x

Answers

eu não sei, desculpe companheiro, não me denuncie

ASAP What is it plsss??

Answers

Answer:

He bought enough he has 1 extra pint

Step-by-step explanation:

What is the simplified form of i^14? A. -1. B. 1. C. -1. D. I

Answers

Answer:

A

Step-by-step explanation:

What is the slope of the line?

Answers

That’s a positive slope 3,1

explain how you know that the two triangles have the same area.

Answers

“Congruent” means same three sides and three angles. If two triangles are congruent, they have the same area. But two triangles can easily have the same area, and have different angles and sides. For example, a 3/4/5 right triangle has area = 6.

Answer:

Step-by-step explanation:

i

What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?

Answers

Answer:

Step-by-step explanation:

y = -x + 9

y - 1 = -(x - 5)

y - 1 = -x + 5

y = -x + 6

The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Here,

The point is given as ( 5, 1 ).

The equation of line is parallel to the line x + y = 9.

What is Equation of line?

The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]

where, m is slope of line and ( x₁ , y₁) is point.

Now,

The equation of line is parallel to the line x + y = 9.

Hence, both line have same slope.

The slope of line x + y = 9 is given as,

⇒ y = -x + 9

compare with equation of line y = mx + c , we have;

Slope = -1

The equation of the line passes through the point ( 5, 1 ) and slope -1 is;

y - 1 = -1 ( x - 5)

y - 1 = -x + 5

   y = -x + 6

Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

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Please someone help!
1. (First Screenshot)
2. (read the second screen shot)

Answers

Answer:

Dependent would be the number of cartons and independent would be the size.

Step-by-step explanation:

A ratio table is PROPORTIONAL when SOME columns reduce to the same fraction
true or false pls asap

Answers

Answer: true

Step-by-step explanation:

What is 10 1/12 as a decimal

Answers

Answer:

10.083

since 1/12 is .0833333333 and so on, it’s shortened

Step-by-step explanation:

Answer:

10.0833333333

Step-by-step explanation:

problem 6 and 4 please

Answers

All triangles equal 180 degrees. I think x = 70 and y = 40

In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60

Answers

Answer:

7250

Step-by-step explanation:

This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.

im trying to do a 1k point give away so there gonna be a bit of spam sorry mods. plez forgive me ;-;

Answers

Answer:

hi,its ok ur not bothering us:)

What corresponds to the graph below?

Answers

Answer:

Step-by-step explanation:

Can you redo the picture

is the number 5 in the expression of constant ​

Answers

Yes x + 5 = 9", 5 and 9 are constants.

In direct variation, the constant of variation has the same
value as which of the following.
A. The y-intercept of its line
B. The X - intercept of its line
C. The slope of the line
D. The absolute value of the slope
of the line

Answers

Answer:

c. the slope of the line

Step-by-step explanation:

because i just know

The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where m is slope of line

c is the y - intercept

Given is the direct variation of a quantity.

The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -

y = mx + c

for y - intercept = [c] = 0, we can write -

y = mx

m = y/x

which is the representation of direct variation.

Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

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Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5

Answers

Answer:

y = negative two-thirds x + 5

y = -2/3x + 5

Hope this helps :)

Answer:

y = negative two-thirds x + 5

Step-by-step explanation:

7 Indira has 300 blue beads, 750 red beads and 900 silver beads. She threads these beads to
make wire bracelets. Each bracelet must have the same number and colour of beads. What
is the maximum number of bracelets she can make with these beads? helpppppppp​

Answers

Answer:

6, I believe?

Step-by-step explanation:

300/6=50

750/6=125, and

900/6=150, so I think it's 6 bracelets, if i'm wrong you can call me dumb.

Indira can make the 150 maximum number of bracelets.

Given that, Indira has 300 blue beads, 750 red beads and 900 silver beads.

We need to find what is the maximum number of bracelets she can make with these beads.

What is the greatest common factor?

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.

Now, 300=2×2×3×5×5

750=2×3×5×5×5

900=2×2×3×3×5×5

So, GCF of 300, 750 and 900=2×3×5×5=150

Therefore, Indira can make the 150 maximum number of bracelets.

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To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?

Answers

Answer:

Step-by-step explanation:

To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?

Sara puts together an online order at her favorite store. She orders shirts (s) for $15 each. She has to pay a $5 shipping fee as well
She wants to spend less than $50 total. How many shirts can Sara order?

Answers

she can get 3 shirts

explanation:
$50-$5 (shipping fee) = $45
$45/$15 (price of each shirt) = 3

Answer:

He can pay for 3 shirts. 3 shirts costs 45 dollars, and with 5 dollars of shiping,

that is 50 dollars.

please help me I like really need help

Answers

Answer:

-110

Step-by-step explanation:

105 - (-5) = 110 but it’s dropping so it’s -110

BRAINLIST! I WILL GIVE BRAINLIST!!!

Each of the following tables defines a relationship between an input x and an output y. Which of the following relationships do NOT represent functions?

Answers

Table C
Explanation: one x value goes to two y values

Watch help video
William read 15 books in 6 months. What was his rate of reading in months per book?

Answers

Answer:

2.5 months

Step-by-step explanation:

hope is right and i help :)

Sharon wants to buy a shirt that costs $45. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?

Answers

Answer:

sale tax is $1

total cost is $ 21

An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?

Answers

Answer:

Shaheem paid $76 as his total.

Step-by-step explanation:

He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.

Lily says that 1,234.56 = 1 x 10+2 x 102 +3 x 10' + 4 x 10° + 5 x 10-' + 6 x 10-2.
Do you agree? Explain.
Your answer

Answers

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[tex]10 + 200 + 30 + 4 + 0.5 + 0.06 = 244.56 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus I don't agree.

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Derek is going to lay grass in a
rectangular space that measures
8. by 32 feet. Find the total area
that will be covered by grass?
THE ANSWER CHOICES ARE IN THAT PICTURE I PUT

Answers

Answer:

Step-by-step explanation:

i'd say either 29 1/6 or 32.53

The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height. A soda can has inner radius r = 1.5 inches, height h = 6 inches, wall thickness 0.04 inches, and top and bottom thickness 0.07 inches. Use linearization to compute the volume, in cubic inches, of metal in the walls and top and bottom of the can. Give your answer to 2 decimal places.

Answers

Answer:

8.20in³

Step-by-step explanation:

Given V = πr²h

r is the radius = 1.5in

h is the height = 6in

thickness of wall of the cylinder dr = 0.04in

top and bottom thickness dh 0.07in+0.07in = 0.14in

To compute the volume, we will find the value of dV

dV = dV/dr • dr + dV/dh • dh

dV/dr = 2πrh

dV/dh = πr²

dV = 2πrh dr + πr² dh

Substituting the values into the formula

dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14

dV = 2π (0.36)+π(1.89)

dV = 0.72π+1.89π

dV = 2.61π

dV = 2.61(3.14)

dV = 8.1954in³

Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)

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