Question

solve the following equations for x and y :
5 x - y = 3
y² - 6x² = 25
what is the final answer?

Answer 1

Are these two equations?

Answer 2

yes only 2 equations . @zordoloom

Answer 3

From the first equa. --> y = ...
Plug it into the second one

Answer 4

Okay, so one is a hyperbola, and the other is a straight line, Just set both euqal to 0 and simplify.

Answer 5

you should get one x value to be 2 and one y value to equal 7. There is also two negative coordinate points.

Answer 6

if i'm choose from equation one : 5 x - y = 3
y = 5x -3 for equation three ?? @Chlorophyll

Answer 7

Yes, then plug it into the second one!

Answer 8

x=2 x=-8/19 ,,,,,,, y=7 y=-97/19

Answer 9

from equation one : 5 x - y = 3
y = 5x -3 ----> equation 3
sub 3 into 2 : y² - 6x² = 25
(3-5x)² - 6x² =25
(3-5x)(3-5x) -6x² =25
9-15x-15x+25x² -6x² =25
25x² -6x² -15x-15x+9-25 =0
19x² -30x-16 = 0

@zordoloom @Chlorophyll this correct??

Answer 10

Yup, now solve it =)

Answer 11

for x1 =2 and x2=-0.4211 is't true? @Chlorophyll

Answer 12

Keep the result in fraction from!

Answer 13

The plug x values back into the first equa. => y values

Answer 14

sub 3 into x1 and x2 :

y =5x-3
y=5(2) -3
y=10-3
y1=7 #

y=5(x) -3
y=5(-0.4211)-3
y=-2.1055-3
y2=-5.1055

so x1= 2 x2=-0.4211
y1=7 y2=-5.1055

@Chlorophyll is't true answer?

Answer 15

Match your answers to zordoloom's
As I instructed you that, do NOT convert the x values into decimal numbers!

Answer 16

how to convert x values not in decimal numbers? @Chlorophyll

Answer 17

yeah i got already @Chlorophyll thanks you so much ,, :)