Question

y = x - 2

y = 3x + 4

is (4, 2) a solution of the system?

choose 1 answer:

a yes

b no

Explanation:

Step1: Check first equation

Substitute \(x = 4\), \(y = 2\) into \(y = x - 2\).
Left side: \(y = 2\), Right side: \(4 - 2 = 2\). So \(2 = 2\), holds.

Step2: Check second equation

Substitute \(x = 4\), \(y = 2\) into \(y = 3x + 4\).
Left side: \(y = 2\), Right side: \(3\times4 + 4 = 16\). Since \(2
eq16\), does not hold.

Answer:

B. No