Solve the system of equations by substitution.

y = 4x -1

2x + 2y = 3

Answers

Answer 1

Answer:

(0.5, 1 )

Step-by-step explanation:

y = 4x - 1 → (1)

2x + 2y = 3 → (2)

Substitute y = 4x - 1 into (2)

2x + 2(4x - 1) = 3 ← distribute parenthesis and simplify left side

2x + 8x - 2 = 3

10x - 2 = 3 ( add 2 to both sides )

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{5}{10}[/tex] = 0.5

Substitute x = 0.5 into (1)

y = 4(0.5) - 1 = 2 - 1 = 1

solution is (0.5, 1 )


Related Questions

Write the equation of the perpendicular bisector of the segment formed by the following points: (-1,1) (5,-5).

Answers

Answer:

(x-h) (y-k)

h=1

k=-5

Step-by-step explanation:

I don't really know what is the best way to answer it

What should be the percentage gain on a product when it is sold for Rs.250 with a
gain of Rs.50.

Answers

Answer:

Sp = ₹250

Gain = ₹50

CP = SP - Gain

CP = ₹(250 - 50)

CP = ₹ 200

Gain = ₹50

Gain% = [tex]\frac{Gain}{CP}[/tex] × 100

= [tex]\frac{50}{200}[/tex] × 100

Gain% = 25%

Hope it will help you.

McKenzie donated 176 ounces of canned cat food to the animal shelter. How many pounds is this?

Answers

Answer:

11 pounds

Step-by-step explanation:

16 ounces equal a pound so you need to do 176 / 16 = 11

PLZ help quiz will mark brainlyist 25 points
Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer. HELP PLEASE VERY IMPORTANT

Answers

Answer:

The two triangles are congruent because the squares in the corner state it's 90 degrees, and the two tick marks show they are also congruent. \

Answer:

Yes

Step-by-step explanation:

Yes

ASA Criterion for Congruence

ASA Criterion stands for Angle-Side-Angle Criterion. Under ASA criterion, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Here Angle Q and Angle S are 90  

and side QR = RS

and Angle QRP = Angle SRT (Vertically opposite angles)

By that we can prove these two triangles are congruent

Find the value of x.
(3x + 12)

72°

Answers

It’s very simple it is approximately 7

Answer:

i was gonna say 15 .(3x+12)=15

what property should be used to solve this one-step equation : a-3=7

A Distributive Property
B Commutative Property of equality
C Associative Property of equality
D Addition Property of equality

Answers

Answer:

D

Step-by-step explanation:

a - 3 = 7 ( add 3 to both sides )

a - 3 + 3 = 7 + 3 , that is

a = 10

pls one questionn onlyy plssssss

Answers

a)trapez or parallelogram
b)yes they are collinear because they are on the same segment
c)yes

I hope I helped you =)

At a football game, a vender sold a combined total of 117 sodas and hot dogs. The number of sodas sold was two times the number of hotdogs sold.find the number of sodas and the number of hotdogs sold

Answers

Answer:

Sodas(s) + Hot Dogs (d) =117

d =2s

s+2s = 117

3s = 117

s= 117÷3

s= 39 sodas

Hot Dogs =2s = 2x39 = 78

here is a easy question :- if -25/5 x p/q =1 , then p/q is equal to ?

Answers

9514 1404 393

Answer:

  -1/5

Step-by-step explanation:

Divide by the coefficient of p/q:

  -25/5 × p/q / (-25/5) = 1 / (-25/5)

  p/q = -5/25

  p/q = -1/5 . . . . in reduced form

She measure the length of the trees shadow ( on the ground) which was 42 meters. Then she positioned the ladder. Which was 2.4 meters high, and measured its shadow. The ladders shadow ( on the ground) was exactly 3 meters

Answers

Answer:

The tree was 33.6 meters tall.

Step-by-step explanation:

So the question is "How tall is the tree?" I take it.

tree height/shadow length = ladder height / shadow length

Notice that the heights are both in the numerator. A proportion should always do this. It should have the same units on either the two denominators or the 2 numerators.

x / 42 = 2.4 / 3                  Multiply both sides by 42

x = 42 * 2.4 / 3

x = 100.8 / 3

x = 33.6

Answer:

33.6

Step-by-step explanation:

x/42 = 2.4/3

x = 2.4/3 x 42

x = 2.4/1 x 14

x = 33.6/1

x = 33.6

Find the 52nd term of the arithmetic sequence -8 -12 -16

Answers

Answer:

a₅₂ = - 212

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = a₂ - a₁ = - 12 - (- 8) = - 12 + 8 = - 4 , then

a₅₂ = - 8 + (51 × - 4) = - 8 - 204 = - 212

(-2c + 5) + (-6.3c - 20) answer plsss

Answers

Answer:   - 8.3c - 15

Step-by-step explanation:

(-2c + 5) + (-6.3c - 20)

-2c + 5 - 6.3c - 20

-2c - 6.3c - 20 + 5

- 8.3c - 15

Need help on this math
Complete the relative frequency table based on the total number of people surveyed.

Type the correct answer in each box. Round your answers to the nearest hundredth.

Answers

Answer:bobo magaral kakasi

Step-bybobo-step explanation:

Answer:

0.21  

0.65

0.16

0.4

Step-by-step explanation:

Your mum

food in
number of
days
grams
1
7
30

Answers

Answer:

30

Step-by-step explanation:

This is most accurate, the rest do not make sense, please mark brainliest!

i need the answer to this asap please

Answers

your answer would be 3/4 :)

3/4 would be the correct answer

You treated yourself and a friend to sodas and snacks at a concert. The total was $16.75. You tipped 15%, and there was a sales tax of 6.5%. What was the total amount you paid?

Answers

Answer:  $20.35

Step-by-step explanation: 16.75 * 0.15 = a 16.75 16.75 * 0.065 = b 16.75 + a + b

The salary of a person increased by 6%. His salary was Rs 50,000. Find his new salary

Answers

Step-by-step explanation:

new salary = 50000(1+(6/100))=50000×1.06= RS53000

I need answer for this quick please

Answers

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 4 ] , then

f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36

f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then

average rate of change = [tex]\frac{-36-(-6)}{4-(-1)}[/tex] = [tex]\frac{-36+6}{4+1}[/tex] = [tex]\frac{-30}{5}[/tex] = - 6

In Chicago, the temperature was -18°F degrees in the morning.
In the afternoon, the temperature dropped 8°F degrees.
What is the new temperature?
A) O°F
B) -26°F
C) -3°F
D) 6°F

Answers

Answer:

It's B which would be -26

please help!!!!!!!!!!!!!!!!!!!

Answers

25-12=13
He got $12 and added that to the money he already had. Adding up to $25, to know what he had before you subtract his total from what he received

Can someone smart please help me with this geometry ( no links please)

Answers

Answer:

The answer is b

Step-by-step explanation:

math question 13 - 4x = 1 - x

Answers

Answer: x = 4

Step-by-step explanation:

To solve this problem, make use of the fact that you may add anything to an equation, as long as you do it to both sides.

Simply add 4x to both sides to get:

13 = 1 + 3x

Then simply add -1 to both sides to get:

12 = 3x

Then, divide both sides by 3 to get:

4 = x

Hope it helps :) and let me know if you want me to elaborate.

I need help with this plz

Answers

Answer:

6

Step-by-step explanation:

for 3 they need 4 cans of paint and for 2 they need 5 they add 1 too it everytime so 6

Javier says that when you add a positive and a negative number the sum is always negative. Is javier statement true or false? explain your reasoning

Answers

Step-by-step explanation:

False

If the positive number is greater than the negative, then it will stay positive.

say the question is 5+ -3.

The answer would be 2

Answer:

False

Step-by-step explanation:

It depends on what sign the larger number is. For example, -5+9= 4 because they are opposite signs and 9 is the larger number of the two, therefore the answer is a positive 4.

what was the population density in 2006?

Answers

Answer:With 3.5 persons per square kilometre, Canada is one of the countries with the lowest population densities in the world. Census metropolitan areas (CMAs) with the highest population densities—Toronto (866), Montréal (854), Vancouver (735), Kitchener (546), Hamilton (505), and Victoria (475)—were located close to United States border.

Step-by-step explanation:

2x + 5 = 3 + 2(x + 1). Which choice describes the meaning of her result, 5 = 5?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Start by using the distributive property with 2(x+1) --> 2x+2

2. Your equation will be 2x + 5 = 3 + 2x + 2

3. Add the 3 and the two on the left side to be 5 + 2x

4. Your equation will be 2x + 5 = 5 + 2x

5. Now minus 2x from both sides so the 2x will cancel out

6. 5 = 5

Find the n-th term of -5,-7,-9,-11,-13

Answers

Answer:

-2n-3

Step-by-step explanation:

-5 , -7 they go up in steps of -2

but it was -2n this would be how it would go

a) -2 -4 -6 -8

which you can see is -3 off each time

so -2n which is a)  

and then -3

= -2n-3

plz say thanks ! xxx

classify P QR
a none of these b isosceles c scalene d equilateral​

Answers

Triangle PQR is an isosceles triangle (b).

The sides PQ & QR are equal (8 cm each). If the opposite sides in a triangle are equal then it's an isosceles triangle.

_______

RainbowSalt2222 ☔

What is the value of x?
Enter your answer in the box.

Answers

Step-by-step explanation:

2(x + 10) = 3x - 30

2x + 20 = 3x - 30

2x - 3x = -30 - 20

-x = -50

x = 50°

a $2400 deposit for 8 years compounded at annual interest rate of 4.5% what is the interest and the total value

Answers

Answer:

$3,619.09

Step-by-step explanation:

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly.

Compound interest formula is

where A is the final amount

P is the initial amount deposited

r is the rate of interest

n is the compounding period

t is the time in years

P= 2400, r= 8.3%= 0.083, t=5, n=4 (quarterly)

Plug in all the values

A= 3619.09

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