I know the answer, I just need help wording it. Help me out? (Will fan + medal)

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Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

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I know the answer is (3, 2) I just need help with writing the equation. I'm not good with words

Question

I know the answer, I just need help wording it. Help me out? (Will fan + medal)

--------

Consider the following pair of equations:

y = −2x + 8 
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

-----

I know the answer is (3, 2) I just need help with writing the equation. I'm not good with words

anonymous · Answer

I know that since we already have what y equals on both equations, you combine them and solve. I just need help writing down what I did in my mind.

alekos · Answer

start of by making   x-1 = -2x+8

alekos · Answer

in words that would be " first equation equals the second"

anonymous · Answer

@alekos Yup! I got that written down to make the equations equal to each other.

igreen · Answer

We can plug in x - 1 into the first equation then solve for 'x'..after we get 'x' we plug it back into any of the two equations to find 'y'.

Note that the solutions are in (x, y) form.

anonymous · Answer

The question says: Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

@alekos is correct in saying x-1 = -2x +8 but that doesnt fully answer the question.

igreen · Answer

$\sf y = -2x + 8$
$\sf y = x - 1$

$\sf x - 1 = -2x + 8\_

Add 2x to both sides:

\(\sf 3x - 1 = 8$

Add 1 to both sides:

$\sf 3x = 9$

Divide 3 to both sides:

$\sf x = 3$

Now plug this into any of the two equations to find 'y':

$\sf y = x - 1$

$\sf y = 3 - 1$

$\sf y = 2$

So our solution is $\sf (3, 2)$.

anonymous · Answer

"in words" @iGreen

igreen · Answer

Not sure what happened there..

$\sf x - 1 = -2x + 8$

Add 2x to both sides:

$\sf 3x - 1 = 8$

igreen · Answer

@BPDlkeme234 "We can plug in x - 1 into the first equation then solve for 'x'..after we get 'x' we plug it back into any of the two equations to find 'y'."

anonymous · Answer

Yes, @iGreen is explaining in words!

igreen · Answer

I said that earlier..lol.

anonymous · Answer

Ooops! sorry @iGreen

study_together · Answer

You start with$$x-1=-2x+8$$Then you subtract 8 from both sides
x - 1= -2x + 8
    -8            -8 
     -9
Then you divide 2 from both sides
   -9/-2          $$x=4.5$$

study_together · Answer

Can I get what you said?

anonymous · Answer

@Study_together this has already been solved by @iGreen

igreen · Answer

More than 1 person can do it $\Huge\ddot\smile$