Question

Solve the following system of equations by the substitution method.

8x = 2y + 5

3x = y + 7

What is the solution set?

{(-41/2, -9/2)}
{(-9/2, -41/2)}
Ø

Answer 1

x=-9/2
y=-41/2

Answer 2

how did u get that

Answer 3

{(-9/2, -41/2)}

Answer 4

should i tell you the procedure

Answer 5

yes

Answer 6

see you can solve this by elimination method

Answer 7

multiply second equation on both sides by 2

Answer 8

6x=2y+14

Answer 9

From first equation, find 2y ie 2y = 8x - 5

Now multiply second equation by 2

6x = 2y + 14

Now put the value of 2y in it,

6x = 8x - 5 + 14

-2x = 9

x = -9/2 and y = -41/2 is the answer...

Answer 10

ook i c u to now

Answer 11

got it???

Answer 12

kinda not all to much tho

Answer 13

use substitution
substitute this y=3x-7
8x=2(3x-7)+5
8x=6x-14+5
8x=6x-9
-6x -6x
_________________
2x=-9
x= -9/2
3(-9/2)=y+7 substitute -9/2 for x
-27/2= y+7
-7 -7
______________
-41/2 =y

(-9/2, -41/2)-------> coordinates and answer

Answer 14

do you have it??

Answer 15

yes thx alot

Answer 16

in which step yu are getting problem?????

Answer 17

NP!!!

Answer 18

it was the switching things out

Answer 19

when your do a problem like such
if you see a variable on its own
thats a clue to know its best to use substitution

and in you problem above you have
8x = 2y + 5

3x = y + 7

Look at each problem closely, here you have a y that stands alone with out a number in front of it...so its best to get that y by itself and solve x...
How do you do that? First I would subtract y as such

3x=y+7
-y -y
____________
-y+3x=7
But remember you have to get y by itself...so then I would subtract 3x
-y+3x=7
-3x -3x
_______________
-y=-3x+7
Now we have y by itself But its negative, BIG PROBLEM
so in order to get Y positive you have to
divide each side by -1
\[\frac{-y}{-1}=\frac{-3x+7}{-1}\]
that would give you y=3x-7

Answer 20

thx i wote it down

Answer 21

NP