When you eliminate \( y \), what is the resulting equation of the system:
\[ 2x + y - 4 = 0 \]
\[ 2x - y - 4 = 0 \]
Answer (2)
{ 2 x + y − 4 = 0 2 x − y − 4 = 0 + − − − − − − − 4 x − 8 = 0 4 x = 8 / : 4 x = 4 8 x = 2
2 x + y − 4 = 0 2 ∗ 2 + y − 4 = 0 4 + y − 4 = 0 y = 0 { x = 2 y = 0
By adding the two equations, we eliminate the variable y and obtain the equation 4 x − 8 = 0 . Solving this gives us x = 2 . The point of intersection of the lines represented by the original equations is ( 2 , 0 ) .
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