Compare 249 and 271 write the greater number in word form

Match the system of equations on the left with the appropriate solution on the right.

VARVARA [1.3K]

Answer:

$x=7-2y$ $(1,3)$

$3x+6y=-9$ $(-1,-1)$

$4x-2y-3$ $\text{no solution}$

$2x+4y=7$ $\text{infinite number of solutions}$

$x=-2y-3$ $(1,-2)$

Step-by-step explanation:

1: $x=7-2y$

$\Rightarrow x+2y=7$

$\Rightarrow (1,3)\;\text{is a solution of the above equation}.$

2: $3x+6y=-9$

$\Rightarrow 3(-1)+6(-1)=-3-6=-9$

$\Rightarrow (-1,-1)\; \text{is a solution of the equation 3x+6y=-9}.$

3: $4x-2y-3$

$\Rightarrow \;\text{It is not an equation}\\ \text{So, 4x-2y-3 has no solution.}$

4: $2x+4y=7$

$\Rightarrow 2x+4y=7\;\text{have an infinite number of solutions.}\\\text{Because for every x there exists a value of y which satisfies the equation.}$

5: $x=-2y-3$

$\Rightarrow x+2y=-3$

$\Rightarrow 1-2(-2)=1-4=-3$

$\Rightarrow (1,-2)\; \text{is a solution of the equation x=-2y-3}.$

7 0

4 years ago

0: An actual hockey stick is 105 cm long. In a scale drawing, the object is 21mm long. What is the scale?

ratelena [41]

Answer:

21mm

Step-by-step explanation:

3 0

3 years ago

Please help it’s due in 20 minutes and it’s easy i just don’t get it :( i’ll mark as brainiest !!

sukhopar [10]

Answer:

d is 18, a is 11, c is 9 and b is 12

Step-by-step explanation:

i think its this, although im only really sure for d.

im 50 percent sure with the others as they add to 50

6 0

3 years ago

What is the algebraic way to solve -10(x-17) = -3 ? Please provide the correct solution :)

suter [353]

Answer:173/10

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

PLEASE HELPPPPPP. I NEED IT DONEEEEE.

agasfer [191]

Answer:

1. Couples tickets: $8

Individual tickets: $4

2. Song download cost: $2

Movie download cost: $15

Step-by-step explanation:

You can solve both of these questions by doing system of equations.

Let's start with question 1.

There are 2 variables in this equation:

- Couples tickets price: let's represent these with the letter C

- Individual tickets price: let's represent these with the letter K

Writing the two equations would look this these:

5c + 2k = 48

3c + 2k = 32

Next, isolate a variable. I am going to isolate K in the first equation.

$2k = -5c + 48 \\k = -\frac{5}{2}c + 24$

Now that we isolated a variable we can plug that back in to the second equation:

$3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8$

We found that c is equal to 8 so we can put that back in to an equation to solve for k.

5(8) + 2k = 48

40 + 2k = 48

2k = 8

k = 4

Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.

Check #1:

5(8) + 2(4) = 48

40 + 8 = 48

48 = 48

3(8) + 2(4) = 32

24 + 8 = 32

32 + 32

Now, let's go on to question 2.

There are 2 variables in this equation:

- Price of songs downloaded: let's represent these with S

- Price of movies downloaded: let's represent these with M

Writing the two equations would look like this:

15s + 11m = 195

15s + 8m = 150

There is a simple way to answer this system, however.

If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:

15s + 11m = 195

-(15s +8m = 150)

Minus them to get this equation:

3m = 45

Solve

m = 15

We have found that each movie download costs $15, now let's plug this back into an equation:

15s + 11(15) = 195

15s + 165 = 195

15s = 30

s = 2

Each song costs $2 to download.

Check #2:

15(2) + 11(15) = 195

30 + 165 = 195

195 = 195

15(2) + 8(15) = 150

30 + 120 = 150

150 = 150

I hope this helps!!

- Kay :)

6 0

3 years ago