Consider this system of two linear equations.
5x − 2y = 16
-4x + 6y = -15
What is the y-coordinate of the solution to the system of equations?

A. 1/3
B. 15
C. -1/2
D. 3

Answers

Answer 1

Answer:

Step-by-step explanation:

so these two lines cross at some point.. and they want to know the y point at which they cross... sooo..

solve them as a system to find the points that are common to both

Eq. 1)  5x -2y = 16

Eq. 2) -4x+6y=-15

i'll use the elimination method as these equations "lend" themselves to that way.. they are easy to solve that way .. in other words..

multiply Eq. 1 by 3  the add Eq. 2 .. to it... add the terms as columns....

    15x-6y = 48

+ ( -4x+6y=-15)

=    11x+ 0y =33

x=3    

nice, now plug 3 in for x in one of the Eq.   try Eq. 1

5(3)-2y=16

15-2y=16

-2y =1

y = [tex]-\frac{1}{2}[/tex]

since we're looking for the y coordinate...  that's your answer [tex]-\frac{1}{2}[/tex]


Related Questions


What is an equivalent fraction of 10/12

Answers

Answer:

5/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

We can simplify this fraction down further by divide both numerator and denominator by 2:

10/2 = 5

12/2 = 6

5/6 will be equivalent to 10/12

Answer:

[tex] \huge \frac{10}{12} = \frac{10 \div 2}{12 \div 2} = \frac{5}{6} [/tex]

5/6 is the right answer.

The volume and base area of a rectangular cargo container is 720 cubic
meters and 120 square meters. Find the height of the container? *

A)86,400m3
B)400m3
C)4m
D)6m

Answers

Answer:

D, 6m

Step-by-step explanation:

Step one:

Given data

The volume and base area of a rectangular cargo container is 720 cubic

= 720m^3

The area of the cargo container is 120 m^2

Required

We want to find the height of the container

Step two

The expression  for the volume is given as

Volume= Area* height

so,

720= 120*h

divide both sides by 120

720/120= h

h= 6 m

The height is 6m

factor 16n^4 -1 completely

Answers

Answer:

(4n^2 + 1) (2n+1) (2n-1)

Step-by-step explanation:

use difference of squares

if my answer is correct, pls mark this is brainliest! thanks!

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 4n² and b=1.

(4n² + 1) (2n + 1) (2n − 1)

what is the slope of this line

Answers

Answer:

Step-by-step explanation: Do rise and run

Helpppppppppppppppppppppp

Answers

Answer:

16

Step-by-step explanation:

y=2x

2*2=4

3*2=6

6*2=12

8*2=16

Answer:

16

Step-by-step explanation:

y=2x

2*2=4

3*2=6

6*2=12

8*2=16

Hope this helps :)

Please help solve this. (Answer is not 80)

Answers

You were close! The answer is 70
The answer is 70 :) hope I helped

please help, I suck​

Answers

Answer:

I believe the equation using slope intercept form is Y= (1)x + -1

Step-by-step explanation:

The line is going down, it hits the y axis at -1, and it goes down one and over one

Hope this helps and have a great day :)

Batteries cost $7.85 / pack. How many packs did Ryan buy if he spent $54.95?

Answers

Answer:

7

Step-by-step explanation:

54.95 / 7.85= 7

Answer:

7

Step-by-step explanation:

ryan spent $54.95

price per pack is 7.85

in other words, 54.95 is 7.85 times the number of packs ryan bought

or

54.95=7.85x

divide by 7.85 on both sides

7=x

he bought 7 packs

check answer:

54.95= 7.85*7

54.95= 54.95

true

Solve the following equation algebraically:

5x2 = 60

a. x~+3.46
b. x~3.46
c. x = 12
d. x =+12


Please select the best answer from the choices provided​

Answers

Answer:

A. X~+3.46

Step-by-step explanation:

I calculated logically

Sandy has 15 roses, 3 daisies, and 12 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet? The greatest number of flowers that could be in a bouquet is flowers.​

Answers

Answer:

3 bouqetes 5 roses 4 tulips

Step-by-step explanation:

Tyrone walked 8 miles in a walkathon at a speed of 2 miles per hour. How long was he walking?
4 hours
6 hours
10 hours
16 hours

Answers

Answer:

4 hours

Step-by-step explanation:

Answer:

the answer is 4 HOURS

Step-by-step explanation:

i took the exam

Jake says that there should be a decimal point in the quotient 142.45 ÷ 7.4 = 1,925 after the 2.

Part A
Which equation shows the best estimate for the quotient?
A. 150 ÷ 10 = 15
B. 150 ÷ 5 = 30
C. 140 ÷ 10 = 14
D. 140 ÷ 7 = 20
Part B


.

Answers

Answer:

sorry

Step-by-step explanation:

can someone help
please dont put garbage answers :( ​

Answers

Answer:

the first one

Step-by-step explanation:

Please mark me brainliest. Something like that  

if 50% is 15 what is 100%​

Answers

Answer:

30

Step-by-step explanation:

If 50% is 15 then to find 100% you have to multiply 15 by 2

Because 50% is half of 2.

15•2=30

Answer:

30

Step-by-step explanation:

50%  half  100 so 15*2 is 30

Which number line represents the graph of the solution to the inequality 27 + 4.5x 2 81?

Answers

Answer: =27+1264.5x

Step-by-step explanation: It bascially explains itself

Can someone help solve this?

Answers

Answer:

x = 8

y = 18

Step-by-step explanation:

First, it would be easiest to start by drawing a picture. To do so, draw two simple Isosceles triangles. Then, label their points. One having the points F, U, and N while the other has B, A, and T. Now, since both triangles are congruent, that means that F≅B, U≅A, and N≅T. Because of this knowledge, FN would be congruent to BT. So, you would be able to write that 52 = 14x - 60. By solving that, you would get the answer to x. Moving onto y, you would see that since the triangles are congruent, the interior angles are too. So, you would be able to use angles F and N to find A. By adding them to 180°, the equation would look like: 71° + 36° + (3y + 19)° = 180°. So, you would be able to find the answer to y. Hope this helped!

The product of the slopes of parallel lines is 1

Sometimes, never, or always

Answers

Answer:

Sometimes

Step-by-step explanation:

8. Dylan has 35 coins in his pocket. All of them are either pennies or quarters, and
they total $4.43. How many of each coin does he have?

Answers

He has 17 quarters and 18 pennies.
Because 17*0.25=4.25 and 18*0.01=0.18.
4.25+0.18=4.43 also 17+18=35

What is the difference between the inequality x ≤ 5 and the equation x = 5

Answers

X is smaller or equal to 5. X is 5

Solve the inequality -2/9b>-12

Answers

Answer:

1/2

Step-by-step explanation:

Solve 3 (b – 4) = 2 (-26+1)

please show your work.

Answers

Answer:

Step-by-step explanation:

3(b-4)=2 b=0.6667

=2(-26+1) 2x-27

=-54

-54 is the answer

(I will give a brainliest)
Please help :)

Answers

so 0=6
1=8
3=12
5=16
total cost for 7 would be 20

3n + 7 - 11n - 31 = 160

Answers

Answer:

n = -23

Step-by-step explanation:

3n + 7 - 11n - 31 = 160

Step 1: Combine like terms

-8n - 24 = 160

Step 2: Simplify

-8n = 184

n = -23

Answer:

= −23

Step-by-step explanation:

Subtract the numbers

3 + 7 - 11-31 = 160

3-24 - 11 = 160

Combine like terms

3 - 24-11 = 160

-8 - 24 = 160

Add 24 to both sides of the equation

-8 - 24 = 160

-8 - 24 + 24 = 160 + 24

Simplify

Add the numbers

Add the numbers

--> -8 = 184

Divide both sides of the equation by the same term

-8 = 184

-8/-8 = 184/-8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

--> = -23

Two submarines began dives in the same vertical position to meet at a designated point.

If one submarine was on a course approximated by the equation x + 4y = -14 and

the other was on a course approximated by the equation x + 3y = -8, at what location would they meet?

Answers

Answer:

(10, -6)

Step-by-step explanation:

The solution of the system of the equations given would be the location that they would both meet.

Let's solve:

x + 4y = -14 ----› Eqn. 1

x + 3y = -8 -----› Eqn. 2

Subtract Eqn. 2 from Eqn. 1

y = -6

Substitute y = -6 into Eqn. 1.

x + 4y = -14 ----› Eqn. 1

x + 4(-6) = -14

x - 24 = -14

x = -14 + 24 (addition property of equality)

x = 10.

The answer is: (10, -6)

Help me with this brainliest

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Angle 3 and angle 5 are on the same side of the transversal. Therefore,

[tex] m \angle \: 3 + m \angle \: 5 = 180 \degree[/tex]

Identify the common difference in the sequence shown below:
-9, -13, -18, -23,...

-4
4

Answers

Answer:

it would be -5 im not sure why theres 4

Which algebraic expression is not equivalent to 13x + 10? A 10(x + 1) + 3x B. 4x + 3 + 8x + 7 C. 13 + 2x + 3x – 3 + 8x D. 20x-2 - 7x + 12​

Answers

Answer:

B is the answer

Try all and see for yourself

Jay played 350 solitaire games he won 154 of those games. What percent of the games did Jay win?

Answers

Answer:

44.044

Step-by-step explanation:

To find the answer we first have to find the value of each percent, to do this we divide 100 by 350, that gets us approximately 0.286. We know that he won 154 of them we then multiply 154 by 0.286 to get the percentage of games he won and we get 44.044.

44%
154/350=0.44
0.44=44%

Please help ASAP!!!!!!!!!!!!!

Answers

Answer:good luck yo

Step-by-step explanation:2 times 5

Rick purchases guitars wholesale for 60$ and then marks them up 150% before selling them online. How much doea Rick sell his guitars for?Real Answers Only​

Answers

Answer:

Rick sells each guitar for 90$

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