Question

What is the solution for this system of linear equations? please explain!!
y=x-8
y=8x-71

Answer 1

set them equal to eachother, you will end up with x-8 = 8x -71, solve for x

Answer 2

then what do you do? im confused?

Answer 3

start by adding 71 to both sides

Answer 4

x=63?

Answer 5

close, divide by the coefficient of the x

Answer 6

whats the coefficient?

Answer 7

7

Answer 8

so I have 8x-71=1x=8
explain to me what I do from here?
I subtract 71 from both sides here?

Answer 9

i would start by subtracting \(x\) from both sides, to put all the terms with \(x\) on the left

Answer 10

in other words get \(7x-71=-8\)

Answer 11

solution of a set of equation means


find the point P(x,y)
which satisfies all the equations.

Answer 12

then add 71 to both sides to get
\[7x=63\] and finally divide both sides by \&\)

Answer 13

that, is , finally divide both sides by \(7\)

Answer 14

so the answer for x=9?

Answer 15

correct.

Answer 16

so how would I find y now since I know x?

Answer 17

you replace \(x\) by \(9\) in either equation

Answer 18

wait, is y=1?

Answer 19

yes

Answer 20

\[y=x-8\]
\[y=9-8=1\]

Answer 21

omg thank you so much! you're amazing!

Answer 22

set them side by side like this:
x-8=8x-71
subtract -8 on both sides and add 8 to both sides

now you should get -7x=-63

Answer 23

yw (if you meant me, if not, then yw from everyone )

Answer 24

now plug byour answer back into the first equation to get y