All categories

2 years ago

What is the solution of the system of equations y=2/3x+5 7x-3y=15

Mathematics

1 answer:

alisha [4.7K]2 years ago

5 0

Answer:

(6, 9)

Step-by-step explanation:

Plug in 2/3x + 5 as y into 7x - 3y = 15

7x - 3(2/3x + 5) = 15

7x - 2x - 15 = 15

Add like terms:

5x - 15 = 15

5x = 30

x = 6

Then, plug in 6 as x into y = 2/3x + 5 to solve for y:

y = 2/3x + 5

y = 2/3(6) + 5

y = 9

So, the solution to the system of equations is (6, 9)

You might be interested in

Based on Max’s father estimate how many minutes will it take to build the box

aalyn [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

(NEED ASAP PLEASE ILL MAKE YOU BRAINLIEST ANSWER (don’t give me the 0.2 units cause this is not the right math problem for that)

inysia [295]

The first one would be (-5,5) and the second one is (5,5) or 1.

8 0

2 years ago

The perimeter of a square is represented by the expression 4(4.3 - 6). Which statement is true?O The perimeter can also be repre

lana66690 [7]

the perimeter is:

4(4x - 6)

Applying distributive property:

4(4x) - 4(6)

16x - 24

Then, the perimeter can also be represented by 16x - 24 because 4(4x - 6) can be simplified to 16x - 24

7 0

10 months ago

Which of the following is equivalent to 12/20

PolarNik [594]

12/20 can be simplified to 3/5

6 0

2 years ago

Read 2 more answers

A small airplane flies 1200 miles with an average speed of 300 miles per hour. 2 hours after the plane leaves, a Boeing 747 leav

inysia [295]

The small plane has the following parameters

Distance = 1200 miles

Speed = 300miles/hour

time = ?

$\begin{gathered} \text{Speed =}\frac{dis\tan ce}{time} \\ time\text{= }\frac{1200}{300} \\ \text{time = 4 hours} \end{gathered}$

If a Boeing 747 leaves 2 hours later, the total time becomes 4hours + 2 hours = 6 hours

Considering the distance of the small plane after 6 hours, we have

$\begin{gathered} \text{distance = sp}eed\times\text{ time} \\ d\text{ = 300 }\times6 \\ d\text{ =1800 miles} \end{gathered}$

So the total distance = 1800 miles

Hence the speed of the Boeing 747 will be

$\begin{gathered} \text{Speed =}\frac{dis\tan ce}{time} \\ \text{distance = 1800 miles } \\ time\text{ = 2hours} \end{gathered}$ $\begin{gathered} \text{speed = }\frac{1800}{2} \\ \text{speed = 900 miles/hour} \end{gathered}$

The average speed of the Boeing 747 is 900 miles/ hour

8 0

8 months ago