When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y = 6?
A.
(–2, 2)
B.
(2, –2)
C.
(–2, –2)
D.
(2, 2)

Respuesta :

 3x + 2y = 2
 2x – y = 6 so y = 2x - 6

replace 
y = 2x - 6 into  3x + 2y = 2 

 3x + 2y = 2 
 3x + 2(2x - 6) = 2 
3x + 4x - 12 = 2
7x = 14
x =2

y = 2x - 6
y = 2(2) - 6
y = 4 - 6
y = -2

so x = 2 and y = -2

answer is B.
(2, –2)
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