Question

what is the solution of the system? Y=-8x-2 and Y=-6x+4
(-3,22)
(-8/3,1/22)
(-14/3,6/22)
(3/14,-6/14)
will give medal for correct answer

Answer 1

Use susbstituion :)
plug equation 1 into equation 2

Answer 2

\[\huge -6x+4=-8x-2\]

Answer 3

you can either solve the system or plug in the given values to see if they fit

eg for first one

y = 22
-8x - 2 = -8(-3) - 2 = 24 - 2 = 22

they both come to same value so thay fit for first equation

Now try the same values for y = -6x + 4 and see if they fit

Answer 4

i think its a

Answer 5

r u sure ?

Answer 6

be confident

Answer 7

im not sure

Answer 8

what does -6(-3) + 4 work out to?

Answer 9

22

Answer 10

so?

Answer 11

it is a

Answer 12

right

Answer 13

thank you

Answer 14

could you help me with this one
how many solutions does the system have ?
12y=-3x+20
y=-1/4x+5/3

Answer 15

yw
pooja195 's method was quicker than mine though
as both -6x+4 and -8x - 2 are equal to y they are equal to each other
so you only needed to plug x = 3 into his equation to see if LHS = RHS

Answer 16

the way to do these is to multiply one equation by a number so that the terms in y or x have the same coefficient ( the coefficient is the number in front of the x or y)

Answer 17

so as we have 12y in equation 1 and y in equation 2 we multiply the second one by 12

equation 1 12y = - 3x + 20
equation 2 12y = -3x + 20


- the same equation

so how many solution s does this have?

Answer 18

1

Answer 19

No
- Hint; you can put any value of x into the equation and work out a value of y

- in fact many many values of x...

Answer 20

so theres not just 1 value theres ?

Answer 21

infinte

Answer 22

right
infinite solutions

Answer 23

thank you so much