Question

$-x + 4y = 4$

$-x + 3y = 1$

is $(8, 3)$ a solution of the system?

choose 1 answer:

a yes

b no

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Explanation:

Step1: Check first equation

Substitute \(x = 8\), \(y = 3\) into \(-x + 4y = 4\).
Left side: \(-8 + 4\times3 = -8 + 12 = 4\).
Right side: \(4\). So first equation holds.

Step2: Check second equation

Substitute \(x = 8\), \(y = 3\) into \(-x + 3y = 1\).
Left side: \(-8 + 3\times3 = -8 + 9 = 1\).
Right side: \(1\). So second equation holds.

Answer:

A. Yes