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
Valentin [98]
2 years ago
5

Y = x^2+5x-3 y-x=2 What is the solution of the linear-quadratic system of equations

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

----------------

y - x =2

y = x + 2

----------------

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

You might be interested in
Write an equation of the line. Express the answer using either the general form or the​ slope-intercept form of the equation of
Georgia [21]

Answer:

y = x - 4

Step-by-step explanation:

The standard equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the slope

Using the coordinate points (4, 0) and (0, -4)

m = -4-0/0-4

m = -4/-4

m = 1

Since the line cuts the y axis at y = -4, the y-intercept b = -4

Get the equation;

Since y = mx+b

y = 1x + (-4)

y = x - 4

This gives the required equation

7 0
2 years ago
Find the domain and range. state whether each set of ordered pairs is a function or not.
Gre4nikov [31]

Answer:

Set A is a function

set B is not a function

3 0
3 years ago
Solve {2x — y = 13; 3x + y = 12
Morgarella [4.7K]

Answer:

{x,y}={5,-3}

Step-by-step explanation:

8 0
2 years ago
last year marina earned 35000 from one job and 25000 from a another job. she puts 3600 in her saving account. what percent of he
professor190 [17]

Answer:

The answer 5.83

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If I have the coordinates (4, 3) and (2, 2) what is distance do we get
Iteru [2.4K]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Why does dividing by 100 shift each digit two places to the right?
    7·2 answers
  • Simplify the expression 7y+6-1+12y
    12·2 answers
  • Answer this with work! I am rank 2 <br><br><br> Distributive property2x - 4(+4) = 10(+4)?
    11·2 answers
  • Use the quadratic formula to find the solutions to the quadratic equation below.<br> 2x^2-5x+5=0
    11·2 answers
  • 5y+4 times 2 what is the coefficient in this expression?
    11·1 answer
  • We are finding the slope of 2 points, I just need help getting started
    5·2 answers
  • What is the missing statement in step 6? <br> H<br> E <br> L <br> P<br> : ‘ )
    14·1 answer
  • Help me, please<br> i really need it
    10·2 answers
  • What is the value of x?
    14·1 answer
  • 6th-grade math DUE IN 5 MIN
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!