fashionistaemita fashionistaemita
  • 18-12-2020
  • Mathematics
contestada

What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?

Respuesta :

jimrgrant1 jimrgrant1
  • 18-12-2020

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = 3 → (1)

x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by subtracting x from both sides

y = 3 - x → (3)

Substitute y = 3 - x into (1)

2x - (3 - x) = 3

2x - 3 + x = 3

3x - 3 = 3 ( add 3 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into (3) for corresponding value of y

y = 3 - 2 = 1

Solution is (2, 1 )

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