automaticloveletter
  • automaticloveletter
Consider the following pair of equations: y = x + 4 y = −2x − 2 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mehek14
  • Mehek14
ok first step you can substitute x + 4 into y for the second equation
Mehek14
  • Mehek14
so instead of y in the second equation, you would have \(x+4=-2x-2\)
Mehek14
  • Mehek14
now we can combine like terms add \(x+2x=\)? @automaticloveletter

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Mehek14
  • Mehek14
what do you get?
automaticloveletter
  • automaticloveletter
uhh I have no clue but 6? :/ I know i'm wrong
Mehek14
  • Mehek14
no imagine x = \(1x\) what is \(1x+2x=1+2=?\)
automaticloveletter
  • automaticloveletter
3
Mehek14
  • Mehek14
so \(3x\)
Mehek14
  • Mehek14
now you have \(3x+4=-2\)
Mehek14
  • Mehek14
now subtract \(-2-4=\)?
automaticloveletter
  • automaticloveletter
-6
Mehek14
  • Mehek14
\(3x=-6\) divide \(\dfrac{-6}{3}\)
automaticloveletter
  • automaticloveletter
-2
Mehek14
  • Mehek14
so x = -2
Mehek14
  • Mehek14
now let's use the first equation and put -2 for x \(y=-2+4\\-2+4=?\)
automaticloveletter
  • automaticloveletter
2
Mehek14
  • Mehek14
so y = 2 your answer is \((-2,2)\)
automaticloveletter
  • automaticloveletter
thank you for explaining
Mehek14
  • Mehek14
your welcome \(\ddot\smile\)

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