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freemantrinity1 freemantrinity1
  • 27-01-2016
  • Mathematics
Answered

What is the solution to the system of equations represented by the two equations?

y=-2x + 7

y=1/3x


(?,?)

Verified Answer :

taskmasters
taskmasters taskmasters
  • 09-02-2016

x = 3 ; y = 1

Given:
y = -2x + 7
y = 1/3x

Substitute y by its value to find x.
y = y
1/3 x = -2x + 7
x = (-2x + 7) ÷ 1/3

x = (-2x + 7) 3/1
x = -6x + 21
x + 6x = 21
7x = 21
7x/7 = 21/7
x = 3

Substitute x by its value to solve for y.
y = -2x + 7
y = -2(3) + 7
y = -6 + 7
y = 1

y = 1/3 x
y = 1/3 3
y = (1*3)/3
y = 3/3
y = 1

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