Question

y = 3x - 5

y = x - 1

is (2, 1) a solution of the system?

choose 1 answer:

a yes

b no

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Explanation:

Step1: Check first equation

Substitute \(x = 2\), \(y = 1\) into \(y = 3x - 5\).
Left side: \(y = 1\), Right side: \(3\times2 - 5 = 6 - 5 = 1\). So it satisfies the first equation.

Step2: Check second equation

Substitute \(x = 2\), \(y = 1\) into \(y = x - 1\).
Left side: \(y = 1\), Right side: \(2 - 1 = 1\). So it satisfies the second equation.

Answer:

A. Yes