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
adell [148]
3 years ago
9

Solve the system by the substitution method. x + y = 2 y= x2 - 6x + 8

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

The solution of the given system is (2,0)

Step-by-step explanation:

Here, the given system of equations is:

x + y = 2    .............. (1)

y= x^2 - 6x +  8  ........  (2)

Now from (1) x = 2 - y

Substitute this value of x = 2- y in (2) ,we get:

y= (2-y)^2 - 6(2-y) +  8\\\implies y = 4 + y^2 - 4y - 12 + 6y + 8\\or, y^2 + y  = 0\\\implies y(y +1) = 0

⇒  y = 0 or,  y = -1

Now, if y = 0, x  = 2

and if x= -1, y = 2-(-1)  = 2+1  = 3, or y = 3

But (x = -1 , y = 3 )is NOT  a solution of (2).

Hence, the solution of the given system is (2,0)

You might be interested in
What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4 (4 points)
kondor19780726 [428]

Answer: It equals 8.

Step-by-step explanation:

6 0
2 years ago
Partial quotient for 350divide 5
azamat

In quotient your answer would be 70

5 0
3 years ago
N.
noname [10]

Answer:

287.1 inches of the canvas.

Step-by-step explanation:

To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.

29*33=957

Now set up your equation for solving for the area of the canvas that the rose covers.

x/957=30/100

We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.

Now cross multiply.

100x=28,710

Now divide both sides by 100.

x=287.1

The red rose covers 287.1 inches of the canvas.

6 0
3 years ago
Help me please this is math
snow_tiger [21]

Answer:

c) none of the above

Step-by-step explanation:

this is because we should put the equation like:

1/3 - (-4/3) because the distance is 5 units and

1/3 + 4/3 = 5/3

this is because (-) × (-) = (+)

7 0
2 years ago
Jason and David each decide to collect baseball cards. Jason has 37 cards and David has 42 cards to begin with. Jason decides to
kobusy [5.1K]
2y+4x turns out like that eventually
4 0
2 years ago
Other questions:
  • (-10, -10) and (-2, -3) find the slope.
    8·1 answer
  • A washer and a dryer cost $829 combined. The washer costs $71 less than the dryer. What is the cost of the dryer?
    14·1 answer
  • How do you find the area of a partial circle
    6·1 answer
  • Find the equation of this line.<br> (0,-2) (4,6)
    7·1 answer
  • Help me plz!<br> 9ubiesnfhduryinwiwybv
    5·2 answers
  • A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.13 for each minute of calls. Plan B costs $16 p
    8·1 answer
  • The error is in the middle: 2(-12) = -24 not 24.
    9·1 answer
  • Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)l
    7·1 answer
  • Can I please have help with question 2) a and b
    7·1 answer
  • An item marked at Dhs.840 is sold for Dhs.756. What is the discount %? a 84% b 20% c 10%​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!