2x-y=7
3x-2y=10
Solve with substitution show steps please.

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (4, 1)

Step-by-step explanation:

Step 1. Look for an equation that has a coefficient of 1 or -1 for one of the variables. Here, that is the first equation, which has a y-coefficient of -1.

Step 2. If you found such an equation, solve for the variable.

  y = 2x -7

Step 3. Use that expression for the variable to substitute into the other equation.

  3x -2(2x -7) = 10

Step 4. Solve the resulting equation in the usual way.

  3x -4x +14 = 10 . . . . . eliminate parentheses

  -x +14 = 10 . . . . . . . collect terms

  4 = x  . . . . . . . . . separate variable terms and constant terms. Here, we added x-10 to both sides.

If the variable has a coefficient that is not 1, divide both sides by that coefficient.

Now, you can use this value in the expression for y that we found above.

  y = 2(4) -7 = 1

The solution is (x, y) = (4, 1).


Related Questions


I WILL MARK BRAINEST!!!! Number 7 :)

Answers

Answer:

The sector for 126 rubies would measure 126 degrees.

Step-by-step explanation:

First, a pie-chart is a circle, and there are 360 degrees in a circle. Because there are 320 total gemstones, 1 gemstone maps to 1.125 degrees. That is, 1.125 degrees per gemstone.

[tex]360\div320=1.125[/tex]

Knowing that, you can calculate the degrees in the pie-chart for any given number of gemstones. Just multiply the gemstones by 1.125.

[tex]112\times1.125=126[/tex]

The sector for 112 rubies would measure 126 degrees.

If you want to be extra sure, you can calculate that for all types of gemstones and add them up:

[tex]32\times1.125=36\\112\times1.125=126\\96\times1.125=108\\64\times1.125=72\\16\times1.125=18\\36+126+108+72+18=360[/tex]

That confirms they all add up to 360 degrees.

Erin needs to make at least a 75 on her semester exam to maintain a B in the class. Which number line correctly represents this situation?
o
75
b.
75
C.
75
d.
75
Ο Α
OB
о с
OD
1
2

Answers

Answer:

C

Step-by-step explanation:

..............$(_(4)5

Answer:

C

Step-by-step explanation:

at least  a 75 means

minimum mark is 75

so it is >= 75

so it is option C

full circle and greater than 75 to the right of number line

How many 1/8th are in 1 2/16

Answers

Answer:

9

Step-by-step explanation:

2/16 can be rewritten into 1/8

so 1 1/8 is 9/8

So there are 9 1/8ths in 1 2/16

Hope this helps!

(This is all copied and pasted. The right answer though! Trust me!)

If there are x times 1/8 gives 1/2 then

x × 1/8 = 1/2

Then x = 4

if we take 4 times 1/8 then

1/8 + 1/8 + 1/8 + 1/8 Or. 4 × 1/8 gives

4/8 = 1/2

Similarly we can get 1/2 by only adding 4 times 1/8

You can get more information about this with the help of this picture.

EXAMPLE 3
If m26 = 142°, find each measure. Give your reasoning.
a. mZ1 =
b. m 2 =
6
N
c. m23 =
32
d. mZ4 =
4
8
e. m25 =
f. m27 =
g. m 8 =

Answers

Answer:

Answer in the attached image.

y = x -4
y = -x + 6
What is the solution for this system of equations?

(1,5)
(6, – 4)
(-4, 6)
(5, 1)

Answers

Step-by-step explanation:

y = x - 4

y = -x + 6

x - 4 = -x + 6

x + x = 6 + 4

2x = 10

x = 10/2 = 5

y = x - 4

y = 5 - 4

y = 1

Solution = (5,1)

Option → D

12 divided by 527 don’t feel like doing this rather do it faster

Answers

Answer:

0.0227703

Step-by-step explanation:

divide and stuff

If a bus travels at 12 mph how long does it take it to go 35 miles?

Answers

Answer:2 hours and 55 minutes.

Step-by-step explanation:

2 hours and 55 minutes:)

Two car rental companies have the following rate structures for a compact car rental. You rent charges $50 per day plus $.15 per mile and rent with us charges 45 per day plus $.20 per mile. If you rent a car for one day, for what number of miles will the two companies have the same total charge?

Answers

Answer:

The point of intersection of these two graphs is (100,65)

in the game unicorn quest .brianna completed 2 levels and earned 56 points how many points will she earn if she completes 4

Answers

Answer:

112

Step-by-step explanation:

56/2=28

28x4=112

Answer: is 112

Step-by-step explanation:

Stephen can deliver 16 newspapers in 20 minutes. How long will it take him to deliver 64 papers? How long will it take to deliver 140 papers? How many papers can you deliver in 195 minutes?

Answers

Answer/Step-by-step explanation:

Given:

16 newspapers in 20 minutes

To Find:

How long will it take him to deliver 64 papers?

How long will it take to deliver 140 papers?

How many papers can you deliver in 195 minutes?

Note:

First Find deliver for newspaper in 1 minutes..

20/16=1.25

16/20=0.8

Solution:

How long will it take him to deliver 64 papers?

1.25x64=80

Therefore, 80 minutes to deliver 64 papers.

How long will it take to deliver 140 papers?

1.25x140= 175

Therefore, 175 minutes to deliver 140 papers.

How many papers can you deliver in 195 minutes?

0.8x195=156

Therefore, 156 papers is deliver in 195 minutes.

(If there any Mistake please tell me )

~RevyBreeze~

One moving company charges 100$ plus 10$ per hour. Another company charges $50 plus $15 per hour. At what number of hours will the charge by both companies be the same?

Answers

The answer is: 12.5 hours

The answer is ten hours because 10*10=100+100=200 so if 15*10=150+50=200 they are the same so the answer is 10 hours

What Square root equals 11

Answers

3.31662479036 hope this helps!!

simplify the expression 6 x x x y

Answers

Answer:

i think its 6 x 3 x 1

Step-by-step explanation:

A boy owns 2 pairs of pants, 3 shirts, 8 ties, and 2 jackets. How many different outfits can he wear to school if he must wear one of each item

Answers

The boy has a choice from among 2•3•8•2 = 96 outfits.

what is the answer to 5a+3b=c

Answers

Answer:

a = -0.6b + 0.2c

Step-by-step explanation:

Simplifying

5a + 3b = c

Solving

5a + 3b = c

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3b' to each side of the equation.

5a + 3b + -3b = -3b + c

Combine like terms: 3b + -3b = 0

5a + 0 = -3b + c

5a = -3b + c

Divide each side by '5'.

a = -0.6b + 0.2c

Which graph below is a function?

Answers

Answer:

the one below the the circle one

In the figure below, segment AB is the hypotenuse of right triangle ABC.

Which of the following could be the coordinates of point C?

Answers A. (2,2) B. (0, 0) C. (2,1) D. (1,7)

Answers

Answer:

C. (2,1)

Step-by-step explanation:

have a great day :)

Which expression forms an equation with the given expression; 24 - 5 x 2
MULTIPLE CHOICE QUESTION, OPTIONS: (5 x 8 -2), 2(6 +1), (5 +3) x 2), (4 x 9 + 2)
WILL MARK BRAINLIEST FOR BEST AND FAST ANSWER

Answers

Answer:

2(6 + 1).

Step-by-step explanation:

24 - 5 x 2 = 14

2(6 + 1) = 2*7 = 14

Select Correct or Incorrect for each equation.
Equation


−1−1= 0 Correct Incorrect

−1+1−1= 0 Correct Incorrect

Answers

Both of them are truly incorrect

Answer:

Both are incorrect

Step-by-step explanation:

k12 math test 2.12 Quiz: Division Properties
Have a nice day and good luck  !! :]

the diagonals of a rhombus are 16 cm and 12cm. find its length​

Answers

Answer:

l=10 cm

Step-by-step explanation:

In a rhombus, the diagonals are cut into identical lines at the intersection.

This way, I found the measures of the halves of the diagonals in a right triangle, knowing that the diagonals of the rhombus are perpendicular on each other.

I calculated that AO = AC/2= 8, and that BO=BD/2= 6, and then I applied pytagora's theorem in a quarter of the rhombus, which is the right triangle AOB, to find the length of a side

Help, I know you could find the slope on any two points but the way they graphed it made it super confusing, is this supposed to trick me?

Answers

Answer:

Slope=10.25 (rate of change)

Step-by-step explanation:

(7, 71.75) and (4,41)

(41 - 71.75) / (4 - 7) = 10.25

C=
5/9
(F−32)
i need help with this question its half of my grade plssss thxx

Answers

Answer:

c=5/9f+-160/9

I just simplifed

Please give brainliest

havea nice day :D

what is forty six thousand and fifty eight as a number

Answers

46,058

Step by Step Explanation:
46,058 ur welcome :)

If h(x)=x2-5x+7 Find the value of h(-5)

Answers

Answer:

hope it helps you.............

There are 28 student desks in Ms. Johnson’s. Each desk measures 26.17 inches long. If you were to line up all the desks end-to-end, how long would all the desks be?

Answers

Answer:

732.76

Step-by-step explanation:

There are 28 desks and each is 26.17. The word "each" signifies multiplication. Formula  - 26.17 x 28  or ; inches x desks

Hope this helps :)

what are the zeros of the polynomial function ? f(x) = 2x (x-2) (1-x)

Answers

Answer:

The zeros are 0 ,2, and 1

Step-by-step explanation:

f (x) = 2x (x - 2) (1 - x)

set f(x) equal to y

y = 2x (x - 2) (1 - x)

solve when y is 0 because when y is 0 then it is an x-intercept

0 = 2x (x - 2) (1 - x)

separate all of the equations out

0 = 2x

0 = (x - 2)

0 = (1 - x)

solve for x for each equation

0 = 2x

divide both sides by 20/2 = 0 and 2x/2 = x0 = xx = 0

0 = (x - 2)

add 2 to both sides0 + 2 = 2 and (x - 2) + 2 = x2 = xx = 2

0 = (1 - x)

subtract 1 from both sides0 - 1 = -1 and (1 - x) - 1 = -x-1 = - xmultiply both sides by -1-1 · -1 = 1 and -x · -1 = x1 = xx = 1


Ann works as a tutor for $9 an hour and as a waitress for $8 an hour. This month, she worked a combined total of 94 hours at her two jobs.
Lett be the number of hours Ann worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answers

Answer:

Ann earned $752+x in a month

If you take t as hours he worked as tutor then ,

Money earned will be $752+t

Answer:

  earnings = 752 +t

Step-by-step explanation:

If Ann worked t hours as a tutor, then she worked (94-t) hours as a waitress. Her total wages were ...

  earnings = waitress wages + tutor wages

  earnings = 8(94 -t) + 9(t)

  earnings = 752 +t . . . . . . . simplify

Would someone please explain and answer, I’m having a hard time trying figure it out.

Answers

I need help my self lol XD

Write a function that represents the relationship between X and y shown in the graph below

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

Find the slope of the line by calculating the Rise/Run between any two points.  I picked (-2,-16) and (4,2).

The Rise is = (2-(-16))=18

The Run is = (4 -(-2)) = 6

Rise/Run is 18/6 = 3.  The slope is three:

y = 3x + b

b is the y-intercept, the value of y when x=0.  b is - 10 in this graph.

y = 3x - 10 is the line of this graph.

as the x value increases, the y values stay the same.

increasing
decreasing
constant

Answers

Answer:

constant

make me brainliest

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