Question

What is the solution to the following system of equations?
-8x + 8y = -16
2x + 6y = -28
please help me( please break it down in steps please) free metal for people who help me

Answer 1

someone please help i really need help on this i dont undrstand this type of equation

Answer 2

lets take
2x + 6y = -28 ..
what will u get if u divide the whole equation by 2 ?
i mean...
\[\frac{ 2x }{ 2 } + \frac{ 6y }{ 2 } = \frac{ -28 }{ 2 }\]

Answer 3

-13

Answer 4

oops i mean -14

Answer 5

nope...
u will get
x + 3y = -14

got it ?

Answer 6

yup

Answer 7

and lets name
x + 3y = -14 ------(1)

and lets move to the
-8x + 8y = -16
what will u get if u divide the whole expression by 8 ?

i mean...
\[\frac{ -8x }{ 8 } + \frac{ 8y }{ 8 } = \frac{ -16 }{ 8 }\]

Answer 8

x+1y= -2 ?

Answer 9

its should be
-x + y = -2 :)

Answer 10

so... now we have 2 equations
first one
x + 3y = -14 ----(1)
second one
-x + y = -2 ----(2)

lets add (1) and (2)

x + 3y -x + y = -14 -2

what will u get if u simplify this ?

Answer 11

x + 3y -x + y = -14 -2
if u move like terms close together u can rewrite it as
x - x + 3y + y = -16
x and -x will cancel out the x term... which will give u
3y + y = -16
4y = -16
y = -4

got it ?

Answer 12

i got something but i dont think i got it right

Answer 13

x+ 3y^2= -14 -2

Answer 14

oops i mean x^2 + 3y^2=-14-2

Answer 15

im sorry if i suck i dont know how to do this type of equation

Answer 16

hello?

Answer 17

hmmm.... u wont get powers of x or y when u simplify
x + 3y -x + y = -14 -2
when u come across something like this...
u can add or sub the value in front of like terms...
for example
in a expression like this
2x + 5x - y
2x and 5x are like terms.. since it contain "x"
but 2x and y cant be considered as like terms... since the 2 terms contain "y" and"x" which are 2 separate variables...

and when u get
2x + 5x
the values in front of each like term is 2 and 5... since the mathematical function u have to do is adding.. u can add 2 to 5 and write
2x + 5x = 7x

in the same way... when u come to
x + 3y -x + y = -14 -2

x and -x are a pair of like terms while 3y and y is another set of like terms...

so if u write the like terms close together...
x - x + 3y + y = -14 -2
here if u consider like terms with "x"
the mathematical function u have to do is subtract... and the value in front of 2 like terms r 1 and 1...
so
1- 1 = 0
therefor
x- x = 0

so... u will remain with
3y + y = -14 -2
here the thing u have to do is addition
and the values in front of like terms r
3 and 1
so..
3 + 1 = 4
which means
3y + y = 4y....

so.. u will end up with
4y = -14 -2 = -16
now
4y = -16
if u divide both sides by 4
4y/4 = -16/4
y = -4

got it :) ?

Answer 18

thank you sooooooooo much

Answer 19

u r welcome :)