QueenAcearies
QueenAcearies QueenAcearies
  • 15-03-2016
  • Mathematics
contestada

solve the system of equation
y=2X^2-3
y=3X-1

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 15-03-2016
since they both equal y
2x^2-3=y=3x-1
2x^2-3=3x-1
subtract 3x from both sides and add 1
2x^2-3x-2=0
factor
(x-2)(2x+1)=0
set each to zero
x-2=0
x=2

2x+1=0
2x=-1
x=-1/2

subsitute
y=3x-1

y=3(2)-1
y=3(-1/2)-1

y=6-1
y=-3/2-2/2

y=5
y=-5/2

so solutions are
x=2 and y=5 or
x=-1/2 and y=-5/2

(x,y)
(2,5) or (-1/2, -5/2)


Answer Link

Otras preguntas

Why have few nations practiced democracy
what layer of the atmosphere contains the oxone layer?
Which ordered pair is in the solution set of 6x + 4y ≤ −2?
A plant grow 0.7 cm each week how much would a plant grow four weeks
Mr. Foster had a farm with 240 acres; he sold 200 acres. What fraction of the farm did he sell?
Jamestown was a Dutch colony in Virginia. True False
during 1 hour of television there are 2 shows on. what is the ratio of hours to shows? if you watch 3 hours of television what will the ratio be
Write an equation of a line which is passing through the point (8, −6) and is parallel to another line, whose slope is −2
How did some Europeans react to student protest there? A: They detested what they saw as the lawlessness of the privileged B: they demanded the universities wi
How is the carbon cycle affected by plants, fungi, and green algae?