MATHEMATICS MIDDLE SCHOOL

A system of equations is shown below:y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?
(8, 17)
(−8, 17)
(−8, −17)
(8, −17)

Answers

Answer 1

Answer:

Answer:

Solution (8 , 17).

Step-by-step explanation:

Given : y = 3x − 7 and y = 2x + 1 .

To find : What is the solution to the system of equations.

Solution : We have given

y = 3x − 7 --------(1)

y = 2x + 1 ---------(2).

Plug the value of y of equation 2 in equation 1.

2x + 1 = 3x - 7.

Subtracting both sides by 1

2x + 1 - 1 = 3x - 7 - 1.

2x = 3x - 8.

On subtracting both sides by 3x.

2x -3x = - 8.

-x = -8

On Dividing both sides by -1

x = 8.

Now plug the x = 8 in eq 1.

y = 3(8) -7.

y = 24 - 7.

y = 17.

Solution (8 , 17).

Therefore, Solution (8 , 17).

Answer 2

Answer: X = 8 and Y = 17 so the answer is A (8, 17)

Related Questions

If you are going to use the ASA postulate to prove these triangles congruent what additional information do you need?
Determine the length of arc JL.A) 259π B) 513π C) 2518π D) 1417π
Complete each statement from the information given and state the reasons and the triangle criterion you used.
Of the 180 students at Martin Middle School, of the students take French. Of that group, also chose to join the French club.How many students both take French and are in the French club?
If Tim ran four and one half miles on Saturday and he ran seven and one third miles on Sunday. How many total miles did Tim run

El largo de un rectangulo se incrementa 15 % y el ancho del rectangulo se incrementa por 20 % determina el porcentaje en que el area se incrementa

Answers

QUE QUIERE DECIR CON ESTA PREGUNTA

Hi guys im new and struggleing for helpRashad is filling a toy box with wooden blocks that are each a unit cube size he filled the bottom layer of a toy box with 15 wooden blocks then he stacked two more wooden blocks on top of the bottom layer what is the total volume in cubic units of the toy box I will show the box on my profile picture

Answers

Volume of box = Length * width* height

Length = 5

Width = 3

Height = 3

5 * 3 * 3 = 45 cubic units

there is 45 cubic units.
Hope this helps! (:

After sales tax is added the total cost of a $58 purchase $61.48 what is the sales tax rate on the purchase?

Answers

total cost of a $58 and purchase $61.48

so the sales tax percentage = ((61.48 - 58)/58)100 = 6% (ans)

Answer:

$12.21

Step-by-step explanation:

Selina earns 8% commission on sales. On one sale,her commission was $20.40. What was the amount of that sale?

Answers

a×0.08=20.40
So $255 was the amount of the sale.

Aldrin and Jan are standing at the edge of a huge field. At 2:00 p.m., Aldrin begins to walk along a straight path at a speed of 3 km/h. Two hours later, Jan takes a straight path at a 608 angle to Aldrin’s path, walking at 5 km/h. At what time the two friends be 13km apart?

Answers

Answer: After 2:29 hours both Aldrin and Jan will be 13 km apart from each other.

Time at that instant will be : 4:00 pm + 2.29 hours= 6:29 pm

Step-by-step explanation:

According to the figure:

Ab= c = 13 Km

AC = b = $distance= speed* time =5* t$ =5t Km

After two hours the distance covered by the Aldrin say till point D :

$distance=speed* time=3km/hr* 2 hrs=6 Km$

Since, we are interested in determining the time at which Aldrin and Jan both 13 Km apart. For that Aldrin Additional distance covered by the Aldrin from point D to B is :

$distance=speed* time= 3km/hr* t=3t Km$