help_people
  • help_people
Create a system of equations that includes one linear equation and one quadratic equation. Part 1. Show all work to solving your system of equations algebraically. Part 2. Graph your system of equations, and show the solution graphically to verify your solution.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
help_people
  • help_people
@midhun.madhu1987
welshfella
  • welshfella
try using y = 2x + 1 y = x^2 - x - 6
midhun.madhu1987
  • midhun.madhu1987
General form of a linear equation is: ax + by + c = 0 General form of a Quadratic equation is: a(x^2) + bx + c = 0

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help_people
  • help_people
ok basically like @welshfella said
help_people
  • help_people
how would i solve algebraically though?
midhun.madhu1987
  • midhun.madhu1987
Equate both equtions: 2x + 1 = x^2 - x - 6 Now arrange it...by combining like terms...
help_people
  • help_people
I'm not sure/// comine 2x-x?
help_people
  • help_people
how can you combine you put the stuff on the other side of the equal sign
midhun.madhu1987
  • midhun.madhu1987
x^2 - x- 2x - 6-1 = 0 x^2 - 3x - 7 = 0
midhun.madhu1987
  • midhun.madhu1987
Now you can solve this quadratic equation using QUadratic Formula...
help_people
  • help_people
wait can you tell me what we have doen so far and wha i should put ?
midhun.madhu1987
  • midhun.madhu1987
Solve this system of equations algebraically: y = x2 - x - 6 (quadratic equation in one variable of form y = ax2 + bx + c ) y = 2x - 2 (linear equation of form y = mx + b)
midhun.madhu1987
  • midhun.madhu1987
Substitute from the linear equation into the quadratic equation and solve. y = x2 - x - 6 2x - 2 = x2 - x - 6 2x = x2 - x - 4 0 = x2 - 3x - 4 0 =(x - 4)(x + 1) x - 4 = 0 OR x + 1 =0 x = 4 x = -1
midhun.madhu1987
  • midhun.madhu1987
Find the y-values by substituting each value of x into the linear equation. y = 2(4) - 2 = 6 POINT (4,6) y = 2(-1) - 2 = -4 POINT (-1,-4)
help_people
  • help_people
oh so that's part 1?
midhun.madhu1987
  • midhun.madhu1987
Yes...
help_people
  • help_people
that makes sense srry i was a little confused
help_people
  • help_people
what would i do after>
midhun.madhu1987
  • midhun.madhu1987
Now you can plot the points graphically and check...
help_people
  • help_people
ok :) ty!
help_people
  • help_people
wait @midhun.madhu1987 what do they mean how the solution graphically ?
welshfella
  • welshfella
https://www.desmos.com/screenshot/rljjhtzr7b to graph you plot points for a range of x and y the above link shows the graphs where they intersect are the solutions
help_people
  • help_people
oh so thats what i should use ?
welshfella
  • welshfella
as you see they intersect at (4,6) and (-1,-4) which agrees with the values you got earlier. I'm not sure Desmos Graphing is a very good piece of software but i dont know if your teacher will allow it.
welshfella
  • welshfella
He/she might only accept a drawing on graph paper.
help_people
  • help_people
yes he will i always use it :)
welshfella
  • welshfella
oh ok
help_people
  • help_people
yep could you help with another one ?

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