summersmith544
summersmith544 summersmith544
  • 01-04-2021
  • Mathematics
contestada

Find the solution(s) to the system of equations below:
3x - 5y = 3 and y = 3x2 - 4x + 1

Respuesta :

karkismriti176
karkismriti176 karkismriti176
  • 04-04-2021

Answer:

1,0

8/15,-7/25

Step-by-step explanation:

3x - 5y = 3

5y = 3x-3

y = (3x-3)/5

y= 3x² -4x +1

or, (3x-3)/5 = 3x²-4x +1

or, 3x-3 = 15x²-20x+5

or, 15x² - 23x +8 =0

or, 15x² - (15+8)x +8 =0

or, 15x² - 15x -8x +8 = 0

or, 15x (x - 1) -8(x-1) =0

or, (x-1)(15x-8)=0

Either,

x-1=0

x = 1

when x=1,

y= 0

or,

15x-8=0

x=8/15

when x= 8/15,

y= -7/25

Answer Link

Otras preguntas

I’m confused on this one
What number should be added to both sides of the equation to complete the square x^2+12x=11
The table below shows some values of f(x) and g(x) for different values of x: x f(x) = 2x + 24 g(x) = 5(0.5)x −2 20 −1 0 5 1 2.5 2 28 Complete the char
98 POINTS Help me with this, i have no clue what to do. but the only methods you have the option to use are these: isolate the variable, difference of squares p
Glenn invested $15,000 at 3% interest compounded annually. How much interest will Glenn earn in 4 years?
Is Cape Horn is the southern most tip of South America
Solve the system of equations by graphing -1/3 x + y = -1 and y= 4+1/3 x
what specific beliefs did colonists have about who was superior?
Explain why you should use interjections
Which serious and incurable STI leads to AIDS? human immunodeficiency virus genital herpes human papilloma virus pelvic inflammatory disease