Question

y = 5x + 2
4x - y = 0
is (2, 12) a solution of the system?
choose 1 answer:
a yes
b no
show calculator

Explanation:

Step1: Check first equation

Substitute \(x = 2\), \(y = 12\) into \(y = 5x + 2\).
Right - hand side: \(5\times2+2=10 + 2=12\), left - hand side: \(y = 12\). So \(12=12\), the point satisfies the first equation.

Step2: Check second equation

Substitute \(x = 2\), \(y = 12\) into \(4x-y = 0\).
Left - hand side: \(4\times2-12=8 - 12=- 4
eq0\). So the point does not satisfy the second equation.

Answer:

B. No