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
Anna35 [415]
3 years ago
15

3y-6=3x and y+2x=5 solve the system of linear equations by graphing PLEASE SHOW WORK​

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

The "work" of solving by graphing is typing the equations into a graphing calculator and highlighting the point of intersection.

___

If you're graphing these by hand, there are a couple of strategies you can use. One is to make use of the intercepts of the line. For each of these, you need to rearrange the equation to a suitable form.

  <u>3y -6 = 3x</u>

To put this into "intercept form", put the variable terms on one side of the equal sign and the constant on the other. Then divide by the constant and express the resulting variable coefficients as denominators.

  3x -3y = -6

  x/(-6/3) +y/(-6/-3) = 1

  x/(-2) + y/2 = 1 . . . . . . The x-intercept is -2; the y-intercept is 2.

Plot the intercept points and draw a line through them.

  <u>y +2x = 5</u>

The intercepts for this one are found by dividing by 5:

  x/(5/2) + y/5 = 1 . . . . . . The x-intercept is 2.5; the y-intercept is 5.

The other strategy you can use for this one is to rearrange the equation to slope-intercept form and make use of those numbers.

  y = -2x + 5

The y-intercept is 5 (as we already found above), and the slope is -2. That means the line drops 2 units for each unit it goes to the right. Apart from the y-intercept, other points on this line will be (1, 3), (2, 1), (3, -1).

  <u>Solution</u>

When you plot these lines, you find they intersect at (1, 3). That is the solution to the system of equations, the values of x and y that satisfy both equations.

You might be interested in
What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?
rosijanka [135]

Answer:

a=18-3 and b=32÷8

Step-by-step explanation:

the first one

5 0
3 years ago
How do I do question 9 b?
Lynna [10]
You find the circumference of a full circle so 2πr =43.98
then divide by 4=10.995
so the answer is 10.995cm
3 0
3 years ago
Geometry question shown above. Please help.
zhannawk [14.2K]
For question 4 its (C)
6 0
3 years ago
A hot dog costs $1 at the ballpark. Which equation shows the total cost, C, of n hot dogs?
pochemuha
C=1n is the answer because the cost of hotdogs equals the price times the number of hotdogs
5 0
2 years ago
Read 2 more answers
A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table show
nasty-shy [4]
The 4-liter acid material was a lower concentration than 40%. Call it 4 liters of x percent acid.

4x+10*40
————— =30
X+10
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is 24 144 in simplest form
    10·1 answer
  • Did I do this right?
    12·1 answer
  • (2.01)
    10·1 answer
  • How may toy castles are there?
    13·1 answer
  • Find the LCM (Least Common Factor) of 12 and 27 using prime factorizations​
    11·1 answer
  • Hey, please help solve the question.​
    10·1 answer
  • lainey is sliding down a water slide that is 420 feet long at a rate of 42 feet per second how long will it take lainey to trave
    10·2 answers
  • Box A contains 1 black and 3 white marbles, and box B contains 2 black and 4 white marbles. A box is selected at random, then a
    10·1 answer
  • X + 128 = x + 68 find x
    15·1 answer
  • I know this is easy and i should know but im actually stumped on this one
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!