Solve by elimination, ordered pair also

4x + 6y = 12
6x + 9y = 12

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

Solving by Eliminating method:

[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]

[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]

Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.

[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]

[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]

Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get

[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]

[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]

Therefore, the pair of equations has no solution.

Hope this helps!!


Related Questions

help for brainliest also 30 points

Answers

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

What is 4 times 4 and 5555 times 8999989

Answers

Answer:

4 *4 = 16

16 * 5555 = 88880

88880 * 8999989 = 799919022320

Brainliest :D

Step-by-step explanation:

Answer:

49994938911

Step-by-step explanation:

(4times4)(5555times8999989)

a. Complete the table to chart his calorie expenditure for different amounts of time.
Time (minutes)
to
5
45
30
120
20
80
75
15
Calories Burned
to
20
9
b. Plot the table of values on the graph.
X/
x9
400f%
300
Calories Burned
200
100
20
10 20 30 40 50 60 70 80 90 100
Time (minutes)

Answers

Answer:

you are missing the values; 25, 50, 90, and 105

Solved by using - Guv=8piG(Tuv+P^Guv)

Choose the scientific notation for 0.01.
O 1x 10-4
O 1x 103
O 1x 10-2
O 1x 101

Answers

I believe it’s the third one hope it helps

Answer:

1×10-2

Step-by-step explanation:

10-2 = 1÷100 =0.01×1 = 1× 10-2

1.
D x y
a dxdy
 
  
2
   S D r  4 .

Answers

Answer:

ok

Step-by-step explanation:

ok fjFjxggkgclclcchlclcullcucuclcvuullulj

like a good neighbor...........?

Answers

Answer:

state farm is there!

Step-by-step explanation:

state farm is there............?

Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.

Answers

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

Please answer both of them questions please no links or you will be reported

Answers

if ur a u r so good but bot a good

Simplify this please: ^4√y^20

Answers

Answer: y^5

Step-by-step explanation:

In the picture

write a formula, including units, for the surface area.

Answers

Answer:

plz mark me as a brainliest plz

Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have

Answers

Answer:

56 cents

Step-by-step explanation:

1 quarter = 25 cents

3 dimes = 30 cents

1 penny = 1 cent -_-

25 + 30 + 1 = 56

maria buys 2 dozen pens at $7.20 a dozen. she then sells the pens at 80c each. calculate her profit​

Answers

Her profit is $4.80 :)

$7.20•2=$14.40
24 pens • $0.80 =$19.20
$19.20-$14.40=$4.80 profit :)

Help!!!!!! I'll give you brainliest!!!

Answers

I would say

Balanced forces result in constant velocity: phase 3

Unbalanced force causes change in velocity: phase 4

The more unbalanced the forces are, the greater the changes in velocity is: phase 5

Hope this helps

If Cindy uses 1
1/2 cups of sugar to make 2 pints of Kool-aid, how much sugar would she need for 5 pints of Kool-aid?

Answers

Answer: 3.75

Step-by-step explanation:

5/2=2.5

1 1/2 = 1.5

1.5*2.5=3.75

What kind of question is this? To say you are in college...

PLS HELP AND DONT PUT LINKS
Explain how to graph a scatterplot and its regression line using a regression calculator​

Answers

before you enter the data into the regression calculator, decide which variable should be on x and y axis. then enter the data pairs. press the linear regression button to create the regression line

Help with this problem

Answers

Answer:

You should use AAS for this problem

Step-by-step explanation:

Maybe Brainliest Please

Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.

Answers

equation of the line: y=-2/3x - 7
graph of the line:

Help me please help me help please

Answers

Answer:

4

Step-by-step explanation:

-4/-1 = 4

9. Which lines are parallel if mZ4=mZ5? Justify your answer.

Answers

Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

Line with a slope of -1/4 and containing. (4,-3)

Answers

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x + b

-3 = -1/4(4) + b

-3 = -1 + b

-2 = b

The value of A is -6. The difference between A and C is 6. Type all possible values of C.

Answers

Answer:

-12, 0

Step-by-step explanation:

A= -6

If A-C = 6 then, A-6=C

-6-6 =C

C= -12

or C-A =6

C=A+6

C= -6+6

C=0

Which equation represents a line which is parallel to the line Y= 1/2 X +3 1. y-2x=-5 2. 2x+y=-6 3. x-2y=2 4. x+2y=4

Answers

Answer:

x-2y=2.

Step-by-step explanation:

1) if to re-write all the given equations of the lines, then

y=2x-5; y=-2x-6; y=1/2x-1; y= -1/2x+4.

2) y=1/2x-1 only is parallel to the given y=1/2x+3.

Factor out the coefficient of the variable term.
4x - 20
Factored expression:

Answers

Answer:

[tex]4(x-5)[/tex]

Step-by-step explanation:

The expression 4x - 20 has the greatest common factor (GCF) of 4.

[tex]4x-20\\4(x-5)[/tex]

Therefore, the factored expression is 4(x - 5).

The coefficient of the variable for the expression 4x - 20 is found as 4.

What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.

For the given question,

The expression is given as;

4x - 20

where,

4 is the coefficient of the variable of the expression.

-20 is the constant in the expression.

Thus, the coefficient of the variable is found as 4.

To know more about the coefficient of the variable, here

https://brainly.com/question/1038771

#SPJ2

(0,3) and (2,4) are on the line

Answers

Slope-intercept form is y = mx + b

The slope can be found by dividing y(2) - y(1) by x(2) - x(1).

4 - 3 = 1
2 - 0 = 2
m = 1/2

Since the first point has an x-coordinate of 0, the y-coordinate is the y-intercept of the line.

b = 3

Equation: y = 1/2x + 3

if a system of equations have no solution, what does the graph look like?

Answers

The two lines are parallel.

Which of the following is the correct interpretation of 2?
In a statistics class, a teacher had the students
complete an activity in which they grabbed as many
bite-sized pretzels as they could with their dominant
hand, without crushing them. The teacher then
measured their handspan in centimeters. A regression
analysis was completed and the value for was
52.1%
* About 52.1 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand.
About 52.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan
About 47.9 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand
About 72.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan

Answers

Answer:

B

Step-by-step explanation:

EDGEN

Answer:

B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.

Step-by-step explanation:

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

3.14 × 30²

3.14 × 900

2826 m

so,

area of rectangle + area of circle = area of the training field.

6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.​

Answers

Answer:

3/4

Step-by-step explanation:

you can make it into a fraction just putting it like this 9/12

well 12 - 9 = 3

so we divide by it

9÷3 = 3

12÷3 = 4

lastly you put these as a fraction

3/4

I hope this helps :)

What is the sum of the roots of the quadratic equation x²+6x-14=0?​

Sum of Roots = ___ Product of Roots = ____​

Answers

Answer:

Sum of Roots = (-8) Product of Roots = (-84)

Step-by-step explanation:

[tex] {x}^{2} + 6x - 14 = 0[/tex]

Roots :- 6 and -14

Sum of the roots :

[6 + (-14)]

= (-8)//

Product of the roots :

[(6)(-14)]

= (-84)//

PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40 degrees less than the measure of the second

Answers

9514 1404 393

Answer:

  25°, 65°

Step-by-step explanation:

Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.

The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.

The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.

Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.

The two angles are 25° and 65°.

_____

Additional comment

There are many ways you can arrive at this conclusion. Algebraically,  we can write ...

  a+b = sum

  a-b = difference

Adding these two equations gives ...

  2a = sum +difference

Multiplying by 1/2, we get ...

  a = 1/2sum +1/2difference . . . . . . as described above

Subtracting the difference gives ...

  b = a -difference = 1/2sum -1/2difference

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