Question

Math Help?????
Will medal for best answer(s).
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Answer 1

i found it easier to make them into prnt screens rather than typing because i am currently doing an essay

Answer 2

sure

let's start with 1a)

6x - 4y = -24

easiest way to graph this is to use the intercept method

to find the y-intercept, let x = 0 and solve for y

so

6(0) - 4y = -24

y = ?

Answer 3

y=6

Answer 4

good, now we do the opposite and let y = 0 to find x

6x - 4(0) = -24

x = ?

Answer 5

-4

Answer 6

awesome

so draw the points (-4,0) and (0,6) and draw the line that crosses through them + extends to infinity in both directions

Answer 7

now we repeat this process w/ the other line

4x - 8y = -32

when y = 0, what does x equal?

Answer 8

-8

Answer 9

awesome, so x = -8 and y = 4 [positive 4 not negative]

so we would draw a line between (-8,0) and (0,4)

then we locate the intersection between the points for b)

Answer 10

so for b) it's (-2,3) and for c) "this is the intersection of the two lines" or something like that

Answer 11

ah

Answer 12

alright, for 2a) you just need to plug in the given x value for function

for example, for the first box, x = -2 and f(x) = 4(-2) + 24 = 16, so 16 goes into the box

keep repeating this process for every box, use a calculator to speed things up

Answer 13

wolframalpha.com is an online calculator

Answer 14

back so for the table.
it would be:
f(x)=4(-2)+24
f(x)=4(-1)+24
fx=4(0)+24

Answer 15

good that's the first column, but you need to evaluate those expressions

Answer 16

16 20 24

Answer 17

awesome, so 16,20,24 are the values for the first column

now repeat this process w/ g(x) column, where g(x) = 2^(x+6)

Answer 18

16 32 64

Answer 19

awesome, so those are your values for column 2

now, for b) notice that both columns have 16 in the first row, so x = -2 is the solution, so b) just write x = -2
and for c) write something like "the table shows that both functions have the same value (16) at x = -2

Answer 20

anyway, let's start with 3)

it tells you that y = 3x + 9

you can take this y and substitute this into the first equation so:

4x + 5y = 7

4x + 5(3x+9) = 7

^ solve for x?

Answer 21

-2

Answer 22

awesome, then go back and solve for y

if x = -2, then y = 3x + 9

Answer 23

= ?

Answer 24

3

Answer 25

good, so (-2,3) = your answer

for the other one, we just need to multiply one of the equations by -1 so that b can be cancelled out w/ addition

-9a - 5b = - 35
2a + 5b = 0

now add the two equations together

-7a = -35

solve for a, then go back to one of the original equations + solve for b

Answer 26

a=5
b=-2

Answer 27

awesome so (5,-2) = your ans

Answer 28

since i found the answers, how would i go about showing my work

Answer 29

for both the linear combination one and the substitution

Answer 30

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
anyway, let's start with 3)

it tells you that y = 3x + 9

you can take this y and substitute this into the first equation so:

4x + 5y = 7

4x + 5(3x+9) = 7

^ solve for x?
\(\color{#0cbb34}{\text{End of Quote}}\)

^ you just need to show these steps

Answer 31

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
good, so (-2,3) = your answer

for the other one, we just need to multiply one of the equations by -1 so that b can be cancelled out w/ addition

-9a - 5b = - 35
2a + 5b = 0

now add the two equations together

-7a = -35

solve for a, then go back to one of the original equations + solve for b
\(\color{#0cbb34}{\text{End of Quote}}\)

and these steps

Answer 32

+ any calculations that you did

Answer 33

okie

Answer 34

anyway for 4) just multiply the first equation by 2 to get

10x + 6y = 82
3x - 6y = 9

add the two equations together to eliminate y, solve for x, then go back and solve again for y

Answer 35

x=7
y=2

Answer 36

awesome so (7,2) = your ans

Answer 37

for 5) multiply the second equation by 3 to get

3x - 6y = -12
3x - 6y = -24

add the two equations together and let me know what you get

Answer 38

no solution

Answer 39

good so b) is inconsistent and c) the two lines don't intersect

down to the last problem finally

Answer 40

if x = seeds oz. and y = dry fruit oz.

x + y = 10

using price, the amount he spends on seeds is 1.50x and the amount on fruit is 2.50y

so

1.50x + 2.50y = 22

therefore your system is:

x + y = 10
1.50x + 2.50y = 22

^ solve this system. I would recommend solving the first equation for y to get y = 10-x then substituting this into equation 2 to geet

1.50x + 2.50(10-x) = 22

^ solve for x, then go back into equation 1 to solve for y

Answer 41

still there?

Answer 42

yeah im still here, just finishing up my essay

Answer 43

x=3
still trying to find y

Answer 44

x + y = 10, so if x = 3 then y must be 7

so a) is just the system of equations

x + y = 10
1.50x + 2.50y = 22

and b) is 3 oz seeds 7 oz fruit

Answer 45

and that's all the problems, lmk if something I said was unclear