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
Vedmedyk [2.9K]
2 years ago
9

Solve these pair of simultaneous equations y=x^2-x-1 and y=2-3x

Mathematics
2 answers:
brilliants [131]2 years ago
7 0
Y = x^2 - x - 1
y = 2 - 3x

2 - 3x = x^2 - x - 1
x^2 - x - 1 - 2 + 3x = 0
x^2 + 2x - 3 = 0
(x + 3)(x - 1) = 0

x + 3 = 0            y = 2 - 3x
x = -3                 y = 2 - 3(-3)
                          y = 2 + 9  
                          y = 11

x - 1 = 0            y = 2 - 3x
x = 1                 y = 2 - 3(1)
                         y = 2 - 3
                         y = -1

so ur solutions are : (-3,11) or (1,-1)

Gnom [1K]2 years ago
3 0
Compare both sides, 
x² - x - 1 = 2 - 3x
x² + 2x - 3 = 0
x² -x + 3x - 3 = 0
x(x - 1) 3(x - 1) = 0
(x - 1)(x+3) = 0
x = 1 or - 3

In short, Your Answers would be 1 & -3

Hope this helps!
You might be interested in
If x and y are two supplementary angles whereas m
Rudiy27

Answer:

110degrees

Step-by-step explanation:

Complete question

Q4: If x and y are two supplementary angles whereas m<x=70 then find the m<y.

The sum of two supplementary angles is 180degrees, hence;

m<x + m<y = 180

70 + m<y = 180

m<y = 180 - 70

m<y = 110degrees

Hence the measure of ,=m<y is 110degrees

5 0
2 years ago
The coordinates of points M,N, and P are ....
Rainbow [258]

Answer:

(-1, -1) Let me know if the explanation didn't make sense.  

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

y+1 = 0(x-5) -> y = -1

So now we want these two to intersect.  We just set them equal to each other.

-1 = -4x -5 -> -1 = x

So this gives us our x value.  Now we can plug that into either function to find the y value.  This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)

8 0
2 years ago
What is the solution to the system of equations?<br><br> y=1<br> y=-5x+3
In-s [12.5K]

Answer:

y=1

x=2/5

Step-by-step explanation:

1=-5x+3

-2=-5x

x=2/5

7 0
2 years ago
Read 2 more answers
Which is better 4:3 odds or 3:4 odds? Why?
juin [17]

Answer:

no problem?

Step-by-step explanation:

8 0
3 years ago
What is the equation of the line in slope-intercept form?ASAP!!! Please
bezimeni [28]
We use y=mx+c we know that c= 4 A’s this is the y intercept . Next we need to work out the gradient(m). For every two squares along we go three squares up. This means are gradient is 1.5. Finally we input are values into the equation y=1.5x+4
4 0
3 years ago
Read 2 more answers
Other questions:
  • A student factors a^6 - 64 to (a^2 - 4)(a^4 + 4a^2 + 16). Which statement about (a^2 − 4)(a^4 + 4a^2 + 16) is correct?
    10·2 answers
  • 1. Identify the vertical asymptotes of
    7·1 answer
  • Circle B has a radius of 7.2in. Find the diameter of circle B dilated by a factor of 8.1
    12·1 answer
  • Please answer, will mark brainliest, worth 49 points<br>THANKS ^-^
    12·1 answer
  • Need answer ASAP <br> thank you!
    8·2 answers
  • Which is greater three hours or 300 minutes
    7·2 answers
  • PLEASE HELP!!!! ILL GIVE BRAINLIEST!!!!!!!
    15·1 answer
  • What is the period of the function?
    9·1 answer
  • There are 6 triangles and 5 squares.<br> What is the ratio of squares to<br> triangles?
    13·1 answer
  • Question 4 of 13
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!