Question

please help me on these

Answer 1

For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?

3x + y = 8
-x - 2y = -10

-2y + 10
2y + 10
2y - 10
-2y - 10

Answer 2

Solve the following system of equations:
3x - 2y = 6
6x - 4y = 12

(0, 0)
(6, 12)
Infinitely many solutions
No solutions

Answer 3

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?

Price of a shirt is $9, and price of a cap is $2.
Price of a shirt is $10, and price of a cap is $1.
Price of a shirt is $8, and price of a cap is $3.
Price of a shirt is $7, and price of a cap is $4.

Answer 4

Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bought 5 notebooks and 5 packs of index cards, he would have run short of $18.

A student concluded that the price of each notebook is $5 and the price of each pack of index cards is $1. Which statement best justifies whether the student's conclusion is correct or incorrect?

The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).
The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (8, 2).
The student's conclusion is correct because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (5, 1).
The student's conclusion is correct because the solution to the system of equations 3x – 4y = 32 and 5x – 5y = 50 is (5, 1).

Answer 5

An equation is shown below:

3 over 2 multiplied by x plus 7 over 2 equals 2 to the power of x

What is the solution to the equation?

x = 1
x = 3
x = 5
x = 8

Answer 6

Which of the following statements best describes the graph of 3x – 2y = 4?

It is a straight line joining the points (6, 2), (5, 1), and (7, 3).
It is a straight line joining the points (0, –2), (2, 1), and (–2, –5).
It is a curve joining the points (3, –2), (2, 3), and (4, 1).
It is a curve joining the points (0, 2), (–2, –1), and (4, 1).

Answer 7

The graph of an equation is shown below:

line joining ordered pairs negative 3,2 and 1, negative 2

Based on the graph, which of the following represents a solution to the equation?

Answer 8

(–2,–3)
(2, 1)
(1, 2)
(–3, 2)

Answer 9

whoa hold the phone
one at a time is much less intimidating

Answer 10

ok wel the first one

Answer 11

had to scroll way the heck up
solve \[-x - 2y = -10 \] for \(x\) which takes two steps

Answer 12

add \(2y\) to both sides then change the sign of each term

Answer 13

\[-x-2y=10\\
-x=2y-10\\
x=-2y+10\] in other words

Answer 14

so B

Answer 15

okay now how about the second one

Answer 16

\[3x - 2y = 6 \\6x - 4y = 12 \] if you multiply the first equation all the way across by 2, you get the second equation exactly

Answer 17

that means they are the same line
so "infinitely many solutions"

Answer 18

Your the best omg how about the thrid one

Answer 19

Price of a shirt is $9, and price of a cap is $2.
Price of a shirt is $10, and price of a cap is $1.
Price of a shirt is $8, and price of a cap is $3.
Price of a shirt is $7, and price of a cap is $4.

Let shirt = s and cap = c

\[\large s + c = 11\]
\[\large 2s + 3c = 25\]

lets sub the first equation \(\large s = 11 - c\) into the second

\[\large 2(11 -c) + 3c = 25\]
\[\large 22 - 2c + 3c = 25\]
\[\large 22 + c = 25\]
\[\large c = 3\]

The price of a cap is 3

Meaning the shirt is 8

Answer 20

Great the next one?

Answer 21

LOL the guy with ss 100 helped u don't u feel great haha :D

Answer 22

what

Answer 23

Satellite is the only guy in the whole openstudy who has smart score of 100 he is at the top :D