Question

Is (10, –6) a solution to this system of equations?
y= 1/5x-8
y= -1/2x-1

Answer 1

Hello @karlieeeeeee ! Welcome to QuestionCove

For a problem like this, the main strategy is to plug in the values of (10, -6) into each equation and see what you get

so plug in
` x = 10 `
and
` y = -6 `
into
` y = 1/5 x - 8 `

Answer 2

In this case, we would get
(-6) = (1/5)(10) - 8

The question becomes: "Does (1/5)(10) - 8 equal -6?"

Answer 3

Next we do the same thing with the other equation
plug in
` x = 10 `
and
` y = -6 `
into
` y = -1/2 x - 1`

then check if the left side is equal to the right side

Answer 4

if both results are true, then your answer would be "yes, (-10, -6) is a solution)
if one of the results is false, then your answer would be "no"

Answer 5

@karlieeeeeee if you come back and are still stuck, just let me know and we can take this one step at a time

Answer 6

So would it be yes or no?

Answer 7

"Does (1/5)(10) - 8 equal -6?"

Answer 8

yes that's the question

Answer 9

nono, I'm asking YOU
what is (1/5)(10) - 8 equal to?

Answer 10

I don't know that's why I'm asking for help

Answer 11

What is (1/5) times 10 equal to?

Answer 12

\(\frac{1}{5}\times10\) = ?

Answer 13

2

Answer 14

What is 2 minus 8?

Answer 15

-6

Answer 16

is -6 equal to -6?

Answer 17

yes

Answer 18

Awesome, this means that ` (10, -6) ` is a possible solution for ` y = (1/5)x - 8 `

now we check for ` y = (-1/2)x - 1 `

What is \(\frac{-1}{2}(10)-1\) = ?

Answer 19

-6

Answer 20

is -6 = -6 ?

Answer 21

yes

Answer 22

ok, so because we answered "yes" for BOTH equations
your answer is going to be yes for your problem

Answer 23

may you please help me with more?

Answer 24

We prefer to keep it to one question per question thread. You are welcome to click the "close" button on this question and open a new question post

Answer 25

so if I post another question you will help?