1. Which would be a more helpful for solving the system: adding the two equations or subtracting
one from the other? Explain your reasoning.
2. Solve the system without graphing. Show your reasoning.

2x+1/2y=7
6x-1/2y=5

Answers

Answer 1

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

[tex]\frac{2x+1}{2y}=7\\\\[/tex]

Equation 2:

[tex]\frac{6x-1}{2y}=5[/tex]

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

[tex]\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\ with\ 6\\\\12x+6=84y[/tex]

Now for the second equation:

[tex]\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y[/tex]

Now subtracting equation 2 from equation 1

[tex]12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y[/tex]

now insert this value of y into any equation

lets insert it into equation 1

[tex]\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375[/tex]


Related Questions

у = х + 4
3х — 4у = - 19

Answers

Answer:

x=3

y=7

Step-by-step explanation:

3x-4(x+4)=-19

3x-4x-16=-19

-x-16=-19

+16. +16

________

-x=-3

×-1 ×-1

______

x=3

y=3+4

y=7

Evaluate -x - y when x = -12 and y = 2

Answers

Answer:

-14

Step-by-step explanation:

subtract

Answer:

-14

Step-by-step explanation:

I used a calculator and it said -14.

Factsss i be scared as hell to be in front of the classroom but when we at a dance or we go out to party...we be doin all kinds of crazy shii​

Answers

Answer:

that do be true tho

Step-by-step explanation:

Answer:

shii, I can throw it back and still have straight A's

Step-by-step explanation:

best of both worlds...

PLEASE HELP NEED TO GET MY GRADE UP!!!!! ILL GIVE BRAINLST!!!!!!!

Answers

Answer:

A gardener harvested 20 tomatoes from 5 plants

Step-by-step explanation:

20 ÷ 5=4

Answer:

D) A gardener harvested 20 tomatoes from 5 planets

Step-by-step explanation:

Because:

20 ÷ 5 = 4

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

help me on math plz​

Answers

Answer:

1/2

Step-by-step explanation:

35/70 = 1/2

Hope This Helps

What does it mean by implied info, also can you please tell me the answer! Thanks

Look at the pic attached

Answers

Answer:

The definition of implied is something that was hinted at or suggested, but not directly stated. When a person looks at his watch and yawns multiple times as you are talking, this is an example of a situation where boredom is implied.

The ratio of boys to girls in a class is 3:4. There are 35 students in the class.
How many students are boys?

Answers

Dunno and I’m not sure very much      

Answer:

15

Step-by-step explanation:

b : g : total

3 : 4 : 7

7u-> 35

1u->5

3u-> 15

Melanie used cross multiplication to correctly solve a rational equation. She found one valid solution and one extraneous solution. If 3 is the extraneous solution, which equation could she have solved?


A. The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying.


B. The equation is x-3/4 = 2x-6/4x because 3 makes a numerator equal zero and is a solution if the equation derived from cross multiplying.


C. The equation is 8/x^2-9 = 5/2x-6 because 3 makes the denominator equal zero and is a solution of the equation derived from cross multiplying.


D. The equation is 8/x+3 = 12/4x-3 because 3 is a solution of both the original equation and the equation derived from cross multiplying.

Answers

Answer:

The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying. ( A )

Step-by-step explanation:

The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying.

An extraneous solution is a solution that is derived from an equation that is not the original equation and when its value is plugged back into the original equation it isn't a root of the equation

In the picture below, which segment is parallel to AD

Answers

Answer:

BC

Step-by-step explanation:

because they never intersect each other

Ms. Bradley made a scatter plot with her students' individual homework averages on the x-axis and their individual average test scores on the y-axis, with both x
and y as integers between 0 and 100. She calculated the equation of the line of best fit as y=0.8z +18.
Jillian, one of Ms. Bradley's students, had a homework average of 70 and a residual of -6. What was Jillian's average test score?

Answers

Answer: 3.2z+80

Step-by-step explanation:

The probability that Jim drives to work is 0.20. The probability that Jim drives to work and is late for work is 0.05. The probability that Jim is late for work, given that he bikes to work is 0.30. What is the probability that Jim is late for work, given that he drives?

Round to the nearest hundredth.

Answers

Answer:

0.45

Step-by-step explan

ba - ha = c
solve for a

Answers

Answer:

h = [tex]\frac{c}{b-h}[/tex]

Step-by-step explanation:

Given

ba - ha = c ← factor out a from each term on the left side

a(b - h) = c ← divide both sides by (b - h)

a = [tex]\frac{c}{b-h}[/tex]

1.6y+y-4/15y+1 1/6y=2 1/3

Answers

1.6y+y-4/15y+7/6y=21/3

We move all terms to the left:

1.6y+y-4/15y+7/6y-(21/3)=0

Domain of the equation: 15y!=0

y!=0/15

y!=0

y∈R

Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R

We add all the numbers together, and all the variables

1.6y+y-4/15y+7/6y-7=0

We add all the numbers together, and all the variables

2.6y-4/15y+7/6y-7=0

We calculate fractions

2.6y+(-24y)/90y^2+105y/90y^2-7=0

We multiply all the terms by the denominator

(2.6y)*90y^2+(-24y)+105y-7*90y^2=0

We add all the numbers together, and all the variables

(+2.6y)*90y^2+(-24y)+105y-7*90y^2=0

We add all the numbers together, and all the variables

105y+(+2.6y)*90y^2+(-24y)-7*90y^2=0

Wy multiply elements

-630y^2+105y+(+2.6y)*90y^2+(-24y)=0

We get rid of parentheses

-630y^2+105y+(+2.6y)*90y^2-24y=0

We add all the numbers together, and all the variables

-630y^2+81y+(+2.6y)*90y^2=0

Hoped this helped :)

Need help ASAP!! Will mark brainliest

Answers

Answer:

The answer is D-16

Step-by-step explanation:

Since we have x on one side, and 49 degrees on the other, both angles are the same, so we subtract 1 from 49 to get 48, so that 3x has to equal 48. So we just divide 48 by 3 to get 16, so x = 16.

Simplify the expression:

9(–4 + 4b)

Answers

Answer:

-36+36b

hope this helps

Answer:

-36+36b

Step-by-step explanation:

9×-4=-36 and 9×4b is 36b

John is inviting himself, Lucy, and 5 of their closest friends to the party. If there are 3
3/4 cups of yogurt, how many cups of yogurt will John and the rest of the guests at the party each equally receive? PLS ANSWER. I WILL GIVE POINTS TO WHOEVER ANSWERS FIRST.

Answers

Answer:

99

Step-by-step explanation:

what does 125%+28/20=

Answers

Answer:

[tex]2\frac{13}{20}[/tex]

Step-by-step explanation:

[tex]1.25 + \frac{28}{20}[/tex]

[tex]= \frac{5}{4}+\frac{28}{20}[/tex]

[tex]=\frac{25}{20} + \frac{28}{20}[/tex]

[tex]=\frac{53}{20}=2\frac{13}{20}[/tex]

Answer:

2 13/20

Step-by-step explanation:

12345678910111

There are 14 boys and 15 girls in the school jazz band. Find the ratio of the number of girls in the band to the total number of students in the band.

Answers

Answer:

14:30 or 14/30

Step-by-step explanation:

Help me pretty please

Answers

Answer:

This a opinion based writing just write how you think about the question cause if you copy paste it the teachers can copy and then paste your answer into google and find where you copied it

Step-by-step explanation:

Find the Sum (3x^2+ 4x-1) + (-2x^2 -3x+2)

Answers

x2+4x-2 that’s the answer lol

The sum of the equation is A = x² + x + 1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the sum of the equations be represented as A

Now , the value of A is

Let the first equation be P

The value of P = 3x² + 4x - 1

Let the second equation be Q

The value of Q = -2x² - 3x + 2

Now , the value of A = P + Q

Substituting the values in the equation , we get

A = ( 3x² + 4x - 1 ) + ( -2x² - 3x + 2 )

On simplifying the equation , we get

A = ( 3x² - 2x² ) + ( 4x - 3x ) + ( 2 - 1 )

A = x² + x + 1

Therefore , the value of A is x² + x + 1

Hence , the equation is A = x² + x + 1

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

9. What are the two forces that generate the Coriolis Effect on Earth?

heat and pressure

gravity and planetary rotation

density and salinity

gravitational pull of the Sun and Moon

Answers

Answer:

gravity and planetary rotation

Answer: Gravity and Planetary Rotation!
Hope that helps!

Matt can walk 500 m from his home on King Street, and then 900m along Queen Street to go to his school. He can also walk across a diagonally across a park from his home to his school. Assuming King Street and Queen Street meet at right angles, how far does he walk across the park to go to school?


Answers

Answer:

He walks 1030 meters if he walks across the park.

Step-by-step explanation:

In order to solve this question we will need to know that [tex]c^{2} = a^{2} + b^{2}[/tex] (were c is the length of the hypotenuse (the diagonal line) of a right angle triangle, and a and b are the legs (the sides that form a right angle). So them means that.....

Let "c" be the distance he will need to walk if he was going to go through the park

Let "a" be the distance he walks on King Street

Let "b " be the distance he walks on Queen Street, then.....

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

(Now plug in the values of a and b and get.....)

c = [tex]\sqrt{500^{2} + 900^{2} }[/tex]

c = [tex]\sqrt{1060000 }[/tex]

c = 1029.563014............

So I would assume that you have to round to the nearest meter. And as a result we get 1030 meter.

Replace * with a monomial so that the expression represents the square of a binomial. *+24x+9

Answers

Answer:

[tex]*+24x+9 = 16x^2 + 24x + 9[/tex]

Step-by-step explanation:

Given

[tex]* + 24x + 9[/tex]

Required

Fill in the gap

[tex]* + 24x + 9[/tex]

Express 24x as a sum of equal halves

[tex]* + 12x + 12x + 9[/tex]

Group into two

[tex](* + 12x) + (12x + 9)[/tex]

Factorize 12x + 9

[tex](* + 12x) + 3(4x + 3)[/tex]

Ignore the incomplete part and focus on (4x + 3)

Since the binomial is a square, then the factors of the binomial are :

(4x + 3) and (4x + 3)

So, we have:

[tex](* + 12x) + 3(4x + 3) = (4x + 3)(4x + 3)[/tex]

Expand

[tex](* + 12x) + 3(4x + 3) = 16x^2 + 12x + 12x + 9[/tex]

[tex](* + 12x) + 3(4x + 3) = 16x^2 + 24x + 9[/tex]

Hence:

[tex]*+24x+9 = 16x^2 + 24x + 9[/tex]

Please help me with this question thank you !!

Answers

The correct answer is B. 3 + 7 = 10 and (3 x 3) + 1 = 10

please help! BRAINLIEST to correct answer!

Answers

Answer:

A

Step-by-step explanation:

u can just test them out

Answer:

A. y = 2[tex](x - 2)^{2}[/tex] + 5

Step-by-step explanation:

positive 2 because the parabola faces upwards, and + 5 because it's vertex is places at (2,5)

in which number is the digit 9 one-tenth as much than it is in the number 75,974

Answers

Answer:

In the number 36,521 the digit 5 is in one position lower than it is in the provided number, which means it's value is 1/10th of the original digit.

Step-by-step explanation:

Whoever solves this will get BRAINLIEST answer!!! Please help me out!​

Answers

Answer:

x+x+x=180

3x=180

x=180/3

x=60

60 the answer is 60 hope you have a good day today!

In Fairbanks, Alaska, it was 13°F outside at midnight. The temperature went down 17 degrees by 6 a.m. What was the temperature, in degrees Fahrenheit, at 6 a.m.?

Answers

Answer:

13-17=-4. so -4 degrees F

Step-by-step explanation:

I need some help i'll give brainliest

Answers

Reflection :) sorry if I’m wrong :$
Translation I think

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP :)

Answers

Answer:

c

Step-by-step explanation:

because it a custom made

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