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
Andreas93 [3]
3 years ago
11

What are the solutions to the following system of equations? Select the correct answer below.

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
5 0
(a). 8x + y = 20, where (b). y = x2 - 2x + 4
So where y is in equation (a), substitute in the value of y in (b). 
8x + (x2 - 2x + 4) = 20
8x + (4) = 20
Get rid of the 4 on both sides (since what you do to one side, you must do to the other)
8x + 4 - 4 = 20 - 4
8x = 16
Get rid of the 8 to leave x on its own
8x ÷ 8 = 16 ÷ 8
x = 2
So now that you have x, find y but substituting in the value you just found (2) into one of the starting equations. 
8x + y = 20 where x is 2.
8(2) + y = 20
16 + y = 20
Minus 16 from both sides
y = 20 - 16 = 4
So x is 2 and y is 4
MariettaO [177]3 years ago
4 0

Answer:

Solution of the equation is (2,4) and (-8,84) .

Step-by-step explanation:

As given the equation

y = x² - 2x + 4

8x + y = 40

Putting  y = x² - 2x + 4  in 8x + y = 40 .

8x + x² - 2x + 4 = 40

x² + 6x + 4 = 20

x² + 6x + 4 -20 = 0

x² + 6x - 16 = 0

x² + 8x - 2x - 16 = 0

x(x+8)-2(x+8) = 0

(x+8)(x-2) = 0

x = -8 , x = 2

Put x = -8 in the equation 8x + y = 20 .

8 × -8 + y = 20

-64 + y = 20

y = 20 + 64

y = 84

Put x = 2 in the equation 8x + y = 20 .

8 × 2 + y = 20

16 + y = 20

y = 20 - 16

y = 4

Therefore solution of the equation is (2,4) and (-8,84) .

You might be interested in
Help please in Algebra
photoshop1234 [79]
I believe the answer is D
8 0
3 years ago
Read 2 more answers
Answer the question on the image underneath
Nadya [2.5K]

Answer:

I think it's A. sorry if i'm wrong.

Step-by-step explanation:

8 0
3 years ago
Which is equivalent to x(-14x + 9)?
victus00 [196]
SO YOU HAVE X(-14X+9). ALL YOU DO IS THE DISTRIBUTION PROPERY OR MULIPLE BY X

SO WE GET -14X^2+9X.

X(-14X+9)= -14X(*)X+9(*)X= -14X^2+9X

HOPE THIS HELPS
5 0
3 years ago
Use the piecewise function to evaluate points f(–1), f(2), and f(12).​
scoundrel [369]

Answer:

Step-by-step explanation:

f(- 1) = - 1 + 4 = 3

f(2) = 2 + 4 = 6

f(12) = 4(12) - 7 = 41

3 0
3 years ago
Read 2 more answers
What is the missing justification?
Vladimir [108]

Answer:

The missing justification is the transitive property.

Step-by-step explanation:

The missing justification is the transitive property. The transitive property states that: If a = b and b = c, then a = c.

3 0
3 years ago
Other questions:
  • Determine whether 4 is a solution of the equation 9x+7=40.<br> Is 4 a​ solution?
    9·2 answers
  • 5-7(-4q+5) show work please
    9·1 answer
  • Find the eighth term of the
    13·1 answer
  • A line includes the points (3,4)and (6,10). What is its equation in slope- intercept form
    8·1 answer
  • Tracy took a quiz containing 12 items. If she answered 5/6 of the items correctly how many items did Tracy answer correctly?
    13·2 answers
  • Combine Like Terms- Use the Highlighting Tool
    5·1 answer
  • Some people took part in a game. The frequency shows information about their scores.
    6·1 answer
  • Multiply (5x^2-6x+2) x (4x^2-3x)
    7·1 answer
  • 14. The summer sports training camp has a
    5·1 answer
  • Sven has $1 and a dime in his pile. Dayna has 11 dimes in her pile. If Sven gives Dayna $1 and Dayna gives Sven 10 dimes, will t
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!