Question

Solve the system of equations?
4x-y=8 and -8x+2y=-5
I think its no solution

Answer 1

solving a system of equations and "all real numbers" are unrelated. However, you can solve these problems by graphing, elimination, substitution, or using matrices.

Answer 2

I have to go for a bit... I"ll leave it up to the rest of the helpers on here.

Answer 3

I tried using substitution and I got 0x=11 so...

Answer 4

we can use elimination method

4x-y=8 (first)
-8x+2y=-5 (second)

so let's multiply the entire first equation by 2

2(4x-y=8)

Answer 5

8x-2y=16?

Answer 6

mhm

8x-2y=16
-8x+2y=-5

now what happens if we add?

Answer 7

what happens if we add these two equations together?

Answer 8

The x's and y's get canceled out

Answer 9

yes and we're left with 0 = 11 is that a true statement or a false statement?

Answer 10

false

Answer 11

yup because 0 is NEVER EQUAL to 11
when the x and y values cancel out, we have an inconsistent system.
An inconsistent system means that there is no solution
There is no x and no y value that will satisfy these equations. So we're done. :)

Answer 12

Thank you