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
7nadin3 [17]
1 year ago
8

Hey can someone tell me the steps to solving a system of equations with graphing

Mathematics
1 answer:
ryzh [129]1 year ago
4 0

Answer:

Let's go through the following example to show how to solve a system of equations by graphing. I won't solve this system, I will just show how to.

8x-3y = 17\\4x+y=21

<h3>If you can use an online graphing calculator...</h3>

If you have an online grapher (like Desmos) at your disposal, then you can put each equation in it as it is.

  • Lines intersect -> Put your cursor over the point of intersection to get the solution.
  • Lines never intersect -> The lines are parallel and there is no solution
  • Lines perfectly fall on each other -> The lines are the same and have infinite solutions

<h3>If you have a physical graphing calculator (like TI-84)</h3>

1. Get both equations in the form y=mx+b by solving for y.

8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}               4x+y=21\\y=-4x+21

2. Put both equations in the graphing calculator

  • Lines intersect -> Find the intersection point using your graphing calculator's mechanics (each one is a little different)
  • Lines never intersect -> The lines are parallel and there is no solution
  • Lines perfectly fall on each other -> The lines have the same equation and have infinite solutions

<h3>If you just have graphing paper...</h3>

1. Get both equations into the form y=mx+b by solving for y.

8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}                    4x+y=21\\y=-4x+21

2. Plug in a few different points for x and calculate their y-values.

3. Plot those points on the graph paper

  • Lines intersect -> Find the intersection point's coordinates to get the solution for x and y.
  • Lines never intersect -> The lines are parallel and there is no solution
  • Lines perfectly fall on each other -> The lines have the same equation and have infinite solutions.
You might be interested in
Order the expressions from least value to greatest value.
pashok25 [27]

Answer:

I think the answer is the first one.

7 0
3 years ago
Write and solve an equation to answer the question, "What number aa is 25% of 64?" An equation is __ =0.25* __. The solution is
Leokris [45]

What number aa is 25% of 64? An equation is a=0.25*64. The solution is a=16. Then check.

64 / 16 = 4. So 16 is the solution.
7 0
3 years ago
Is -96 1/5 a rational number
zheka24 [161]

Answer:

yes

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers

5 0
2 years ago
Read 2 more answers
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and
Veronika [31]

Answer:

5 loaves and 4

Step-by-step explanation:

7 0
2 years ago
A dolphin dove 31 meters below the surface of the water to reach a fish. It traveled 16% of the total distance every second.
photoshop1234 [79]
It traveled 14.88 meters after 3 seconds

7 0
3 years ago
Read 2 more answers
Other questions:
  • Here you go the brainless
    13·2 answers
  • Which could be the area of the face of the rectangular prism
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=g%28n%29%20%3D%20%20-%20%20%7B2n%7D%5E%7B2%7D%20%20%2B%203" id="TexFormula1" title="g(n) = -
    6·1 answer
  • I will award brainliest.<br> Complete the table! Thanks
    6·1 answer
  • Generalize the pattern by finding the nth term. 2, 6, 12, 20...
    13·1 answer
  • How many pints are in 7.5 gallons? <br> a. 120 pt <br> b. 90 pt <br> c. 60 pt <br> d. 30 pt
    15·2 answers
  • What is the value of the digit 2 in 82.6?​
    7·2 answers
  • Please answer this correctly
    7·1 answer
  • the space station has an average orbit of 250 miles above the earth. how many pennies would it take to make a stack that high? p
    13·1 answer
  • Ustrating the fine basic
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!