r9enCapop4gbizahr
r9enCapop4gbizahr r9enCapop4gbizahr
  • 12-06-2016
  • Mathematics
contestada

What is the value of x in the solution to the following system of equations?
x − y = −3
x + 3y = 5

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eternal3fear
eternal3fear eternal3fear
  • 12-06-2016
We can rearrange the first equation (x - y = -3) to be
[tex] y = x + 3 [/tex] (from adding y to both sides then adding 3 to both sides)

we can plug (x + 3) for the y in the second equation
and get
[tex] x + 3(x + 3) = 5[/tex]

we can distribute that 3
[tex] x + 3x + 9 = 5 [/tex]

add like terms
[tex] 4x + 9 = 5 [/tex]

subtract 9 from both sides
[tex] 4x = -4 [/tex]

divide both sides by 4
[tex] x = -1 [/tex]

therefore your answer would be [tex] x = -1 [/tex]
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