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]
2 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]2 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
Determine whether the formula describes y as a function of x. Explain your reasoning.. . y = -x
Alex17521 [72]
The given formula above, y = -x, is a sample of a function. A function is an equation that would give only one value of y for every value of x. This is the same as saying that exactly one output is set by each input. If we take x = -1, the value of y is 1 and nothing else. 
7 0
3 years ago
Solve by using the quadratic formula: Simplify
larisa [96]

Answer:

-6 - square root 31, -6 + square root 31

8 0
2 years ago
Read 2 more answers
Help me please!!! I need this answered fast!!!
denpristay [2]

Answer:

I think that the answer is A.

5 0
3 years ago
Find the coordinates of the midpoint of the segment with the given endpoints.
uysha [10]
(\frac{x_{1} + y_{1}}{2}, \frac{x_{2} + y_{2}}{2}) \\(\frac{6 + 10}{2}, \frac{-3 + 5}{2}) \\(\frac{16}{2}, \frac{2}{2}) \\(8, 1)
8 0
2 years ago
A roll of fabric was 120 inches long. A customer bought 2 feet of the fabric.
MAVERICK [17]

the correct answer is OB. 7.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Convert 19 over 2 to a decimal using long division.
    8·2 answers
  • Find the prime factorization of 30,031​
    9·1 answer
  • Notebooks cost $1.20 each this weekend they will be on sale for $.80 what percentage is the sale
    9·2 answers
  • Graph y minus 3 equal one half (x+2)
    8·1 answer
  • Please answer fast!
    9·1 answer
  • A circle is inscribed in a square. The area of the circle is 507 square inches. What is the length of each side of the square? U
    8·1 answer
  • The graph shows f (x) and its transformation g(x) . Which equation correctly models g(x) ?
    5·1 answer
  • For the values a = 7.2 which is a leg of a right triangle, and value c = 11.1, which is the hypotenuse, find the length of the o
    9·2 answers
  • Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles
    10·1 answer
  • Which of the following is(are) the solution(s) to |11x +3 = 6 ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!