Question

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2x + 7y = 1
y = 4x - 8
is (4,8) a solution of the system?
choose 1 answer:
a yes
b no
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testing a solution to a system of equations

Explanation:

Step1: Test in the second equation

Substitute \(x = 4\) and \(y = 8\) into \(y = 4x - 8\).
Left side: \(y = 8\)
Right side: \(4\times4 - 8 = 16 - 8 = 8\)
Since left side = right side, it satisfies the second equation.

Step2: Test in the first equation

Substitute \(x = 4\) and \(y = 8\) into \(2x + 7y = 1\).
Left side: \(2\times4 + 7\times8 = 8 + 56 = 64\)
Right side: \(1\)
Since \(64
eq1\), it does not satisfy the first equation.

Answer:

B. No