Seudónimo Seudónimo
  • 13-01-2020
  • Mathematics
contestada

WILL MARK BRIANLIEST!
Solve the system of equations using the elimination method.
​Show ALL work
​
​ x+y=2
x−y=6

Respuesta :

jimrgrant1 jimrgrant1
  • 13-01-2020

Answer:

(4, - 2 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

x - y = 6 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(x + x) + (y - y) = (2 + 6)

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 in either of the 2 equations and solve for y

Substituting in (1)

4 + y = 2 ( subtract 4 from both sides )

y = - 2

Solution is (4, - 2 )

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