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
V125BC [204]
3 years ago
15

Direction: Solve each of the following system of linear equations graphically then check, if the system of linear equations has

no solution, explain why..
need help here plss

NO LINK PLEASE!

i need the correct answer for this, please for those who only know the answer for this... ​

plss don't answer if you don't know the answer :)


i need explanation please :)​

Mathematics
1 answer:
lora16 [44]3 years ago
6 0

Answer:

The solution is (0, 2) or x = 0, y = 2.

Step-by-step explanation:

Solving a system of linear equations graphically entails graphing the lines and then finding the point where the lines intersect. This point of intersection will be the solution to the system of equations.

Getting these linear equations into slope-intercept form (y = mx + b, where m is the line's slope and b is the line's y-intercept) makes them a lot easier to graph, so let's make sure that both lines are in slope-intercept form.

The first line isn't in slope-intercept form, so we can rewrite it as:

x + y = 2

y = -x + 2 (Subtract x from both sides of the equation to isolate y)

The second line technically isn't in slope-intercept form, so we can rewrite it as:

y = 2 - 3x

y = -3x + 2 (Commutative Property of Addition)

Now, we can graph the lines to find the solution to the system.

To graph y = -x + 2, draw a line with a slope of -1 (since m = -1) and a y-intercept of (0, 2) (since b = 2). This is the red line on the graph.

To graph y = -3x + 2, draw a line with a slope of -3 (since m = -3) and a y-intercept of (0, 2) (since b = 2). This is the blue line on the graph.

Looking at the graph below, we see that the lines intersect at (0, 2), so this is our answer.

To check if this point is a solution to the system of equations, simply substitute the x and y-coordinates of the point into the equations. If the point satisfies all of the equations, then it is a solution to the system.

In (0, 2), x = 0, and y = 2. Substituting these values into the first equation gives us 0 + 2 = 2, which simplifies to 2 = 2. This is a true statement, so (0, 2) satisfies the first equation. Substituting x = 0 and y = 2 into the second equation gives us 2 = 2 - 3 * 0, which simplifies to 2 = 2. This is also a true statement, so (0, 2) satisfies the second equation, and therefore is a solution to the system of linear equations. Hope this helps!

You might be interested in
The length of one leg of a right triangle is 8 centimeters shorter than the
ra1l [238]

{34}^{2}  +  {b}^{2}  = {42}^{2}  \\ 1156 + {b}^{2}  = 1764 \\ 1156 - 1156 +  {b}^{2}  = 1764 - 1156 \\  {b}^{2}  = 608 \\  \sqrt{ {b}^{2} }  =  \sqrt{608}  \\ b = 24.7
I used the Pythagorean formula, which is a² + b² = c².
a² and b² are the two side legs while c² is the hypotenuse.
One of the side is 42 - 8 = 34 cm.

3 0
3 years ago
????????!1!!!!!!! HELPPPPPPPPPPP
pav-90 [236]

Answer:

9

Step-by-step explanation:

Let us say, Olivia's age is x.

Now as the question says, we will get this equation.

( \frac{1}{3}  x ) + 12= 2x - 3

Multiply both sides by 3.

x + 36 = 6x - 9

Collect like terms.

x - 6x =  - 9 - 36

Calculate.

- 5x =  - 45

Divide both sides of the equation by -5.

x = 9

Then, we will get the answer.

<u>I</u><u> </u><u>h</u><u>o</u><u>p</u><u>e</u><u> </u><u>i</u><u>t</u><u> </u><u>h</u><u>e</u><u>l</u><u>p</u><u>s</u><u>.</u>

8 0
2 years ago
A plane can fly 305 miles downwind in the same amount of time as it can travel 215 miles upwind. Find the velocity of the wind i
son4ous [18]

Answer:

We can compute this in 2 ways:

305 downwind - 260 still air = 45 mph wind velocity

260 still air - 215 downwind = 45 mph wind velocity

Step-by-step explanation:

5 0
3 years ago
How much is -1 over 4 of 1 1 over 3
nadezda [96]

the anser to that problem is -1/3

5 0
3 years ago
(HELP!)
denis-greek [22]

Let X be the random variable denoting the number of girls that are born. Then X has a binomial distribution on n=125 babies and probability of getting a girl p=0.5. The probability we want is

\mathbb P(X\ge60)=\displaystyle\sum_{x=60}^{125}\binom{125}x0.5^{125-x}0.5^x\approx0.704=70.4\%

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the sum of the n terms of the series 4 + 12 + 36 + 108 + . . . ?
    13·1 answer
  • The sum of all the 2 digit numbers is .. plz give explanation too​
    10·1 answer
  • Find the surface area of the cone. Leave your answer in terms of A 70 cm^2 . B. 98 cm^2 C. 119 cm^2 D. 129 cm^2
    8·2 answers
  • I think its D but im not sure.​
    10·2 answers
  • X= helppppp pleaseeeeeeeeeeeee
    11·1 answer
  • Question 5 on the attachment
    15·1 answer
  • Level D
    9·1 answer
  • I WILL MARK BRAINLIEST
    7·1 answer
  • Find the slope of the line through (9,0) and (3,8)
    8·1 answer
  • HELLLLPPPPPPPPPPPPPP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!