Is (1, 4) a solution to this system of equations? 8x + 3y = 20 x + 4y = 17

Answers

Answer 1

Answer:

Yes.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Systems of Equations

Step-by-step explanation:

Step 1: Define

Identify

8x + 3y = 20

x + 4y = 17

(1, 4)

Step 2: Check

Plug and verify the coordinates is a solution.

Substitute in point [1st Equation]:                                                                    8(1) + 3(4) = 20Multiply:                                                                                                             8 + 12 = 20Add:                                                                                                                   20 = 20 [tex]\checkmark[/tex]Substitute in point [2nd Equation]:                                                                  1 + 4(4) = 17Multiply:                                                                                                             1 + 16 = 17Add:                                                                                                                   17 = 17 [tex]\checkmark[/tex]

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.


Related Questions

1)The sum of a number and 81 is at least 102.

Answers

Answer:

any number grater than or equal to 21

Step-by-step explanation:

A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? *

Answers

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

So the Zip line is 202m long.

What is the solution to the system of equations graphed below?
5-
y = x+1
5
y=-x-1
y=-x-1
y=x+1

Answers

Answer:

y+1-1x

Step-by-step explanation:

.................

a number divisible by 5 but not by 2​

Answers

Answer:

5

Step-by-step explanation:

Answer:

odd numbers divisible by 5 such as 5,15,25,35,45,55 and so on

PLZ HELP!!! LOTS OF POINTS!!

question: “WHAT TEST WOULD YOU USE FOR THESE PAIRS OF TRIANGLES?”

SSS, SAS, AAS, or RHS?

Answers

Step-by-step explanation:

a. SAS

b SSS

c. RHS

d. AAS

e. RHS

f. AAS

Is this correct? Please help me due today.

Answers

The answer you just put is correct

Which point represents the center of the circle shown below?
R
S
А
A. Point O
B. Point S
C. Point A
D. Point T

HELPP

Answers

........




A is the correct answer point O

name four gospels in the order in which they appear in bible plz giving brainliest

Answers

Answer:The four gospels that we find in the New Testament, are of course, Matthew, Mark, Luke, and John. The first three of these are usually referred to as the "synoptic gospels," because they look at things in a similar way, or they are similar in the way that they tell the story.

Step-by-step explanation:

Answer:

Matthew, Mark, Luke, and John I think.

Step-by-step explanation:

plz help me plz help me plz help me I don't want to get grounded the whole summer. the question is the area of the kite is 24 ft squared what is the value of y explain the area of one triangle with a base of blank feet and a blank of Y fee is blank squared feet so blank and Y equals blank ?​

Answers

Answer:

hi

Step-by-step explanation:

i need this asnwer too

Factor the expression: 625t^5-1715t^2
Please show steps!

Answers

Answer:

5[tex]t^{2}[/tex](5t-7)(25[tex]t^{2}[/tex]+35t+49)

Step-by-step explanation:

What is the solution set to the given inequality?
6(x-2) 2 8 + 8x

Answers

Answer:

48 x 2 − 184 x + 192

Step-by-step explanation:

Create a scale drawing of a building, room, or yard on the back of this sheet of paper. Specify the scale factor you used for your drawing.

Answers

Answer:

all you need to do is draw then explain what you drew

Which choices are equivalent to the expression below? Check all that apply. Sqrt -36 A. -6 B. I sqrt36 C. 6i D. - sqrt36

Answers

Answer:

6i

Step-by-step explanation:

Given the expression √-36

This can also be written as;

√36 = √36 * √-1

Since i² = -1

√-1 = i

Substitute into the resuting expression

√-36 = √36 * i

√-36 = 6i

Hence the required answer is 6i

Answer: The answer is i sqrt 36  and  6i

Step-by-step explanation: I just took the test, so yea. :)

A box-and-whisker plot. The number line goes from 1 to 15. The whiskers range from 1 to 14, and the box ranges from 6 to 11. A line divides the box at 9.5.
Which statement correctly finds the interquartile range for the set of data represented by the box plot?
14 – 1 = 13
11 – 6 = 5
11 – 1 = 10
6 – 1 = 5

Answers

Answer:

11 - 6 = 5

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

write a expression that is equivalent to

1/3x+3/4+2/3x-1/4-2/3=​

Answers

Answer:

habla no espanyol

Step-by-step explanation:

Find all the real zeros of the function
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.

Answers

Answer:

Zeroes: x=4, x=-1/2, and x=6

Step-by-step explanation:

Use Synthetic Division where x-4=0 to find another factor:

4 | 2 -19 +38 +24

  ___8_-44_-24

    2 -11  -6  |   0

So far, your two factors are x-4 and 2x^2-11x-6.

We can actually factor 2x^2-11x-6 into (2x+1)(x-6), so we have three factors which are (x-4), (2x+1), and (x-6)!

By the Zero Product Property, x=4, x=-1/2, and x=6 are your zeroes.

PLSSSS HELP ASAP I NEED HELPPPPPPPPPPPPPPPPP

Answers

B. W>25
The water was higher before it was clean, which means that W (water) is greater than 25 (feet)

The store owner buys clothes at wholesale and adds 80% to the wholesale price to set the retail price. The retail price of a pair of pants is $36.00. What is the wholesale price?

Answers

Answer:

$7.2 A.t a wholesale

Step-by-step explanation:

80%of $36

The mathematical order is :

80÷100×36

80÷100×36=$28.8

When we have found the 80% that is added

We subtract it from the retail price.

$36-$28=$7.2

At the end we are left with our wholesale prices.

Florence has $400 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will she earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$20

Step-by-step explanation:

I = 400(.05)(1)

I = 20

What are the possible measures of the triangles side? Select all that apply

Answers

Answer:

I believe the answer would be A and C

Step-by-step explanation:

Answer:

a,c and e

Step-by-step explanation:

Convert r = 8cos θ to rectangular form. A. x2 + y2 = 8y B. x2 + y2 = 64x C. x2 + y2 = 16x D. x2 + y2 = 8x

Answers

Given:

The given polar equation is:

[tex]r=8\cos\theta[/tex]

To find:

The rectangular form of the given polar equation.

Solution:

We know that,

[tex]r^2=x^2+y^2[/tex]

[tex]x=r\cos \theta[/tex]

We have,

[tex]r=8\cos\theta[/tex]

Multiply both sides by r.

[tex]r^2=8r\cos\theta[/tex]

[tex]x^2+y^2=8x[/tex]

Therefore, the correct option is D.

Identical rods can be placed end to end, as shown below.
Each rod is 17-5cm long
17.5 cm
17. 5 cm
17.5cm
How many of these rods can be placed in this way, between two points 4 metres apart?

Answers

Step-by-step explanation:

if there is no inventory to move around, there is no need for logistics. do you agree ? why ? why not ?


+
-6
-5
-4
-3
-2
-1
0
1
2.
3
4
5
6
Which subtraction problem is shown on the number line?
O A. 1-4
OB. 1-5
O c. 4-1
OD. 5-1

Answers

1-4 I think because the larger arrow is at -4 and smaller is at 1

PLEASE HELP ASAP! DUE TOMORROW!

Answers

Answer:

:)

Step-by-step explanation:

            28

          /      \

       2          14

                  /    \

                2       7

Answer:

Step-by-step explanation:

a)

28 can be written and 2 and 14

                                                14 can be written as 2 and 7

b)

2*2*7

pleas help due to night​

Answers

Answer:

1,800.96 Square Yards I think? If I'm wrong I'm sorry :(

Step-by-step explanation:

Answer:

Sorry I need the points but the person above me has the right answer. Sorry again.

PLEASE HELP ME WITH THIS QUESTION.. the points should be more than ten


NO LINKS UGH

Answers

Answer:

F the point is 3.16

Explantion:

the point is 3.16, which is close to 3.2

In a game​ show, a contestant receives a prize that has a ​% chance of being worth ​$ and a ​% chance of being worth ​$. What is the expected value of winning a​ prize?

Answers

Answer:

112

Step-by-step explanation:

Expected Value is anticipated value, calculated by multiplying each of possible outcomes with their probability of occurrence.

If Price has = 60% chance of value 120 , & 40% chance of value 100

Expected Value = Sum ( Probability of outcome x Payoff )

E (X) = Σ [ xi . PR ( xi ) ] =  x1. Pr (x1) + x2 . Pr (x2)

= 0.6 (120) + 0.4 (100) = 72 + 40

= 112

Square perimeter= 20 triangle base= 3 and height =3.5 find the percentage of the area inside the square shaded

Answers

Answer:

Area of geometric figures mentioned calculated.

Step-by-step explanation:

Square Perimeter = 4 x sides of square = 20. So, each equal side of square = 20 / 4 = 5

Area of square = ( Side )^2 = ( 5 )^2 = 25

Area of triangle = 1/2 (Base) (Height) = 1/2 x 3 x 3.5 = 5.25

Which algebraic equation represents: “Three times the difference of x and 9 is 15”? A. 9x - 3 = 15 B. 3•9 - x = 15 C. 9 - 3x = 15 D. 3•(x - 9) = 15

Answers

Answer:

D. 3•(x - 9) = 15

Step-by-step explanation:

Three times the difference of x and 9 is 15

        3                               (x - 9)            = 15

3(x - 9) = 15

Josef has 25 toy cars. He gives 6 cars to his sister and 5 to his friend. Then he sells 8 cars at a yard sale.
How many cars does Josef have left?

Answers

Answer:6 cars

Step-by-step explanation:

Since he gave away 19 total (6+5+8) and had 25,he has 6 remaining. (25-19)

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