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Scrat [10]
3 years ago
7

Solving and graphing systems of equations

Mathematics
1 answer:
dusya [7]3 years ago
3 0
Hey Jackson!

-4x + 3y = 3
y = 2x + 1

Ok so what we need to do is solving y= 2x + 1 for y.

So let's start by using the substitution method :)

Substitute 2x + 1 for y in -4x + 3y = 3

-4x+ 3y = 3

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

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

-4x + 6x + 3 = 3

2x + 3 = 3

Subtract 3 on both sides

2x + 3 - 3 = 3 - 3

2x = 0

x = 0/2

x = 0

So now since we find the number for x, we gonna use it to help us find the value for y.

To find y, we need to substitute 0 for x in y = 2x + 1

y = 2x + 1

y = 2(0) + 1

y = 0 + 1

y = 1

Thus,

The answer is: y = 1 and x = 0

How to graph?

You need to go on the thing where they put the numbers. y is located on top which has the positive numbers. So when you get there, make a line that comes from the top right side all the way to the bottom left sides. Remember that y = 1 so the line must pass through 1

I am not good with explanation. So I'll leave the graph down below then you'll see what I am talking about :)

Let me know if you have any questions. As always, it is my pleasure to help students like you!


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Can someone plz help me? <3
OverLord2011 [107]

Answer:

C - 52

Step-by-step explanation:

z = 12 x = 2

(You do indices first!)

2 x 2 x 2 = 8

8 x 5 = 40

12 + 40 = 52

I hope this helps, have a good day! :D

5 0
2 years ago
Please help ASAP please and thank you have a great and blessed day!
goldenfox [79]
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3 0
3 years ago
Read 2 more answers
Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local
neonofarm [45]

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

h'(x) = 3x^2 - 12x^3

to find the critical points you equal the first derivative to 0  and get that

3x^2 - 12x^3 = 0, x =  0,1/4

To find if they are maximums or local minimums you use the second derivative.

h''(x) = 6x-36x^2

since h''(0) = 0 is neither an inflection point, and since h''(1/4) = -3/4 then 1/4 is a maximum.

6 0
3 years ago
The sum of person x and person y is 2640. if person x's income is 20% more than person y, find person x's income.
Masja [62]

Answer:

I do not understand she question do you mean the sum of their income is 2640

if so, then the answer is 440 to be x income

Step-by-step explanation:

x income = 20% or 1/5 of y income

y income = 5 of x income

we know that the sum of their income = 2640

which means that

x + y = 2640 =

1/5y + y = 2640

6y/5 = 2640

cross multiply to give us

6y = 5(2640)

6y = 13200

divide through by 6 to give us,

6y/6 = 13200/6

y = 2200

since we know that x income is 20% y income,

therefore, x income =

20/100 * 2200

= 440

therefore,

x income = 440

y income = 2200

5 0
2 years ago
Read 2 more answers
Grace is at a bookstore with $75 to spend. She has plans to buy a reference book that cost $18 and some novels that cost $12 how
elixir [45]

Answer:

Step-by-step explanation:

12x+18=75

-18=-18

12x= 57

Divide by 12.

57/12=4.75

Grace can buy 5 books including the reference book

7 0
3 years ago
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