Is (10, –6) a solution to this system of equations? y= 1/5x-8 y= -1/2x-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 `
In this case, we would get (-6) = (1/5)(10) - 8 The question becomes: "Does (1/5)(10) - 8 equal -6?"
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
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"
@karlieeeeeee if you come back and are still stuck, just let me know and we can take this one step at a time
So would it be yes or no?
"Does (1/5)(10) - 8 equal -6?"
yes that's the question
nono, I'm asking YOU what is (1/5)(10) - 8 equal to?
I don't know that's why I'm asking for help
What is (1/5) times 10 equal to?
\(\frac{1}{5}\times10\) = ?
2
What is 2 minus 8?
-6
is -6 equal to -6?
yes
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 \(\frac{-1}{2}(10)-1\) = ?
-6
is -6 = -6 ?
yes
ok, so because we answered "yes" for BOTH equations your answer is going to be yes for your problem
may you please help me with more?
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
so if I post another question you will help?
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