1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tema [17]
3 years ago
8

What is the solution to the system of equations?

Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Answer:

\large\boxed{\left(7,\ \dfrac{13}{3}\right)}

Step-by-step explanation:

You must use the algebraic method: substitution or elimination.

I will solve a given system of equations the substitution method.

\left\{\begin{array}{ccc}y=\dfrac{1}{3}x+2&(1)\\\\y=\dfrac{4}{3}x-5&(2)\end{array}\right\qquad\text{substitute (2) to (1)}\\\\\dfrac{4}{3}x-5=\dfrac{1}{3}x+2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}x-(3)(5)=3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x+(3)(2)\\\\4x-15=x+6\qquad\text{add 15 to both sides}\\\\4x=x+21\qquad\text{subtract x from both sides}\\\\3x=21\qquad\text{divide both sides by 3}\\\\x=7\\\\\text{put the value of x to the first equation}\\\\y=\dfrac{1}{3}\cdot7+2\\\\y=\dfrac{7}{3}+\dfrac{6}{3}\\\\y=\dfrac{13}{3}

You might be interested in
Which two points are on the graph of y = x - 3?
Readme [11.4K]
The answer is the third one: (0,-3),(4,1)

plug in the X and Y in the given equation
(0,-3): -3 = 0 - 3. this is correct
(4,1): 1 = 4-3. this is also correct 
3 0
3 years ago
Read 2 more answers
List two attibutes of a trapezoid for a kinderaten
ehidna [41]
Base angles and distance
5 0
3 years ago
Read 2 more answers
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Yuliya22 [10]

Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.

Step-by-step explanation:7=7x-9

5 0
3 years ago
Read 2 more answers
Please help this is due soon
Harlamova29_29 [7]

the answer is 60degree..hope it helps u

6 0
3 years ago
Is 3/7 bigger than 1/4
dmitriy555 [2]
Yes! it is bigger than 
8 0
3 years ago
Other questions:
  • A rectangle has a width of 3/4 inches and a length of 9/10 inches. Another rectangle
    12·1 answer
  • What is the length in centimeters??
    14·1 answer
  • 13
    13·1 answer
  • the classroom encyclopedia set fills a shelf that is 24 inches long each book is 3/4 inch thick how many books are in the classr
    10·1 answer
  • Tim receives a 8% commission on each house he sells. If he received a commission of $23,400 what was the value of the house he s
    8·1 answer
  • Which of the following represents graph of f(x) = (1/2)^x
    6·2 answers
  • Please help what is the value of x
    14·2 answers
  • What's the difference between a parallel and perpendicular lines ?
    6·2 answers
  • I need help again.. please give me a real answer.
    15·2 answers
  • I need help on this pls help me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!