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
Alex_Xolod [135]
2 years ago
8

2x-3y=7 and y=3x-7 how do you solve this using subsitution

Mathematics
1 answer:
adell [148]2 years ago
4 0

2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies  -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}

You might be interested in
Fr e e p o i n t s <br> a n d <br> b r a i n l i e s t
lana66690 [7]

Answer:

Hiii

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
please help! a. they share a vert. asymptote at x=-2 | b. they share a horizontal asymptote at y=-.5 | c. they share an oblique
Rashid [163]
They share a horizontal asymptote at y=-.5

Answer is B
3 0
3 years ago
Find the solution set of the following quadratic equations using the quadratic formula.
oksian1 [2.3K]

Answer:

<h3>                1)  x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2</h3><h3>                2)   x_1=-\dfrac13\,,\quad x_2=-3    </h3>

Step-by-step explanation:

<h3>1)</h3>

x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2

<h3>2)</h3><h3>3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3</h3>
7 0
3 years ago
What is 30 x 45 x 34 x89
Finger [1]

Answer:

Step-by-step explanation:

4 0
3 years ago
The sum of two times a number and four
Leokris [45]
Twice the sum of a number and 4 is 14. In this case the numbers are added first, and the ANSWER is doubled.
8 0
3 years ago
Other questions:
  • Booker owns 85 vidoe games he has 3 shelves to put the games on.each shelf can hold 40 video games.how many more vidoe games doe
    5·1 answer
  • Plz help me answer this
    5·2 answers
  • Solve for x.<br><br> 3(3x - 1) + 2(3 - x) = 0
    14·2 answers
  • Write the equation of the line that represents this graph.
    12·1 answer
  • Y=2x^2-2x+7 in vertex form
    15·1 answer
  • PLEASE HURRY!!!! TIMED!!!! WILL GIVE BRAINLIEST!!!!
    10·1 answer
  • I will give you brainliest!!!! This step works because of the ___.
    11·1 answer
  • Voris made 80 cookies this week. She baked 4 less than three times the total she made last week. Which equation, when solved for
    11·1 answer
  • Your favorite dog groomer charges according to your dog's weight. If your dog is 10 pounds or under, the groomer charges $30. If
    8·1 answer
  • What the circumference of a circle with a diameter of 25 inches use 3.14 for pi?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!