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
dmitriy555 [2]
3 years ago
7

Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you

Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

You might be interested in
Carol sold twice as many magazine subscriptions as Jennifer. If Carol and Jennifer sold 90 subscriptions in all, how many subscr
goblinko [34]
Hello there!

Carol would have sold 60 subscriptions and Jenifer would have sold 30

The correct answer is option D, 60

I hope this help!
3 0
3 years ago
What is the value of -33 over 9+2
Nataly [62]

Answer:

11

Step-by-step explanation:

9

+ 2

<u> </u>

11

1 2 3 4 5 6 7 8 9 10 11

what the- to easy bro

7 0
2 years ago
The variable a varies inversely with b. The value of a is 2 when b = 40. Find the constant of variation (k). I will give brainli
Zinaida [17]

Answer:

1=20

Step-by-step explanation:

40 divided by 2 is 20 so

1=20

4 0
2 years ago
PLEASE ANSWER, ITS SIMPLE
iogann1982 [59]
Your average now is 68
7 0
2 years ago
Find the value of the expression:<br> x+5-6 when x=5<br><br> Step by step please
Butoxors [25]

Answer:

4

Step-by-step explanation:

Since x = 5, you can substitute 5 into the x value of the expression: 5 + 5 - 6. Then, you add the 5 + 5 to get 10 in which you subtract 6 from. The answer is 4.

8 0
3 years ago
Other questions:
  • deahawn has a box of crackers shaped in a rectangular prism. The volume of crackers is 432 inches the area of the base 32 inches
    5·1 answer
  • Can someone help me I’m being timed and this needs to be done quick
    5·1 answer
  • The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image
    10·2 answers
  • Sal Espinosa makes 8% commission on the first $5,000 of sales and 10% on any sales over $5,000. Find his total graduated commiss
    14·1 answer
  • Find the measure of angle MLN... arc MN = 80 degrees
    14·1 answer
  • The Akashi-Kaikyo bridge in Japan is about 1 4/9 as long as the Golden Gate Bridge in San Francisco. The Golden Gate Bridge is a
    11·1 answer
  • 3.5. x (5.8 - 7.09)?
    10·2 answers
  • Pls answer this plssssssssssss​
    15·2 answers
  • . 0.9 • 0.001 help me plz c:
    10·2 answers
  • A manufacturer of kitchen utensils and gadgets is considering changing the design of their salt and pepper shakers. Their curren
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!