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is (2, 1) a solution to this system of equations? 5x + 7y = 17 3x + y =…

Question

is (2, 1) a solution to this system of equations? 5x + 7y = 17 3x + y = 7 yes no

Explanation:

Step1: Check first equation

Substitute \(x = 2\), \(y = 1\) into \(5x + 7y\).
\(5(2)+7(1)=10 + 7=17\), which matches the right - hand side of the first equation \(5x + 7y = 17\).

Step2: Check second equation

Substitute \(x = 2\), \(y = 1\) into \(3x + y\).
\(3(2)+1 = 6 + 1=7\), which matches the right - hand side of the second equation \(3x + y = 7\).

Answer:

yes